My daughter is a vegetarian, not a vegan, and she eats fish which makes her something else that I can’t remember right now.
She never mentions it to anybody, just quietly does her own thing.
I think the thing that annoys us about vegetarians and vegans is their self-righteousness.
Pescatarian is the word you're looking for. She's a pescatarian, not a vegetarian.
My younger son is as well, but eats eggs, cheese, fish and drinks milk. He seem to be doing just fine, but it's a PITA feeding him when he brings his veggies & dairy only girlfriend along.