Very true, Midwesterner. I missed that.
Although you are correct that Shechitah [slaughtering] is permitted by a non-Kohen, and the Gemara explicitly writes (Zevachim 32a) that it is לכתחילה, there are those who say that ideally, a Kohen or Levi should do it.
The source I remember offhand for this is the Ya’avetz in Lechem Shamayim on Kiddushin Perek Daled. I vaguely remember seeing more about this, but can’t remember now. A Rosh at the beginning of Chullin, perhaps?