In the Holy writings of the Noam Elimelech, he brings a question in the name of the sages prior to him regarding what the need is to bring the leper to a Cohen? If a person needs serious medical attention it's good for them to seek after a professional healer/doctor.
And a further wonder can be found in the writing of the sages below -
As we can see above, the concept of going to a wise person does not just apply to the Leper, rather the advice seems to be regarding any human with an affliction of some sort. So we must understand what connection a wise man has towards healing one with an affliction in cases when it seems that an afflicted human should seek out after a doctor.
And I said to explain with the help of Heaven that we can see in the Holy Writings of our Sages and Ramban expands on this -
That the sickness of the body is directly connected to a sickness within the soul. That the sickness of the body comes from some sort of iniquity that is attached to the soul. And this isn't recognizable on the surface right away, rather throughout time is strengthens through this blemish in the soul and then starts to damage the body, and from this symptoms of physical sickness begins.
And behold, it is brought down in the name of the Holy Rabbi, the Chozeh of Lublin, May he be remembered for Eternal life, that he once said to a man - "You are asking all these different questions, but your soul is speaking a totally different language" Hence, a person steeped in physicality and the body cannot see or hear things outside of the physical, and it appears to himself that he is suffering in the physical, so therefor when he comes to seek medicine, he seeks only medication for his body, and in reality that medicine he seeks wont be what really helps him, and the advice here would be to go to a sage to understand the nature of his suffering and to find out what within his soul is off and needs to be fixed, and to show him the path he must go on, and the actions he must take, and through this, his physical ailments will heal as well. However, a person doesn't always understand all of this, and therefor incumbent to go to a wise man to open his eyes and to fully understand what his ailment is about, and to know exactly what remedy he needs for his sickness in order that he regains strength in order that he/she returns to us in full.
And this is the explanation of the sages when it was taught - "Whoever has a sick person in his home, go seek out a sage to request mercy for you, which means that the sage will instruct him on the proper and straight path to do that which is considered good in the eyes of HaShem, and by means of this, he returns in full form from that damage done to his/her soul, and have a full spiritual healing, and through this his body becomes healed as well.
And on this way of thinking we can understand why the leper travels to see the Cohen/Priest, as it is taught by the sages -
This is also embedded within the word Metzora (name of a leper and this weeks Parsha) which can be broken into two words, Motzi-Ra - which means spewing evil, in regards to the evil and slander that comes spewing out of ones mouth.
And it says in the Talmud -
And with quick assessments one may think that an affliction that comes his way is the result of the body and requires bodily healing, and our sages have revealed to us the roots of the matter that it has nothing to do with the body, rather its a disturbance of the soul that evolved into a disturbance of the body. And if a person pursues all the mechanisms to heal his body, it wont lead to the desired results and wont be much help at all, and now it makes total sense why the leper has to go to the Cohen.
And behold, the advice that we need to be warned about is to not talk about forbidden things, as the sages of Israel taught on the verse in Pslams -
This language of a profession implies an expert in a specific area, as whoever is an expert in a specific field, it can be called one of his professions.
And Rashi extracts and paraphrases from here the following -
From this we see that we should hold onto the attribute of silence, it is a great skill and its very wise. As we see it was frequently said from the mouth of the Admor Saba Kadisha the Baal Ahavat Yisrael from Viznitz, may his merit rest upon us, "A person should accustom himself to not talk, and do not become frequent and accustomed to it, and never give up on the pursuit of the path of silence, and if you feel burnt out from all the silence, rest a little and further your silence'
And behold we see that the attribute of silence is a wonderful and wise profession, so certainly a person should invest his energy to learn and come to this exalted level of skill, and though this learning and accustoming oneself to silence, your soul will heal, and then your physical afflictions will start to leave you alone. And this is why they had to go to the priest, as he is the doctor of the soul who can teach you reason and logic, and then subsiquently heal you from your physical affliction.
And this is why the verse says "On the day of your purity come to see the Priest" בְּי֖וֹם טׇהֳרָת֑וֹ וְהוּבָ֖א אֶל־הַכֹּהֵֽן׃ - as the first letters of each of those words in Gematria (including the counting of the letters and the whole words) add up to the Gematria of Shetika (Silence), to teach us that the job of the priest is to teach us the life skill of silence, and through this one will become purified via his soul afflictions, and by default his bodily afflictions will follow suit.