Sometimes cutting out fish completely from your diet is not viable.
I live in a meat-eating household. My mother already complains about me not eating meat but forces me to eat fish, and whilst I live under her roof I have to comply, sadly. Because it is against my will, I consider myself vegetarian. If it was up to me I wouldn't eat it but I have to. It's not like I enjoy eating fish either.
And I don't care what any of you crazy-ass extremist vegetarians say. I'm sick of labelling anyway.