There is a certain amount of aggression involved in all humor, that's what makes it funny. Sometimes when we are feeling particularly anxious, or fragile , it can seem like a personal attack, even when it's not meant to be. With something like television I think it's best to just roll with it. There's no profit in letting it upset you.
Alternatively, If you feel up for it, you could use it as a teachable moment: if the person watching it with you knows you're in the transgender spectrum, you could ask them if it it makes THEM uncomfortable. Who knows; you might both learn something. Just avoid getting preachy about it. It won't help your case.