Have you played the game?
I haven't.
Do you have to interact with that character? In all the BioWare games I have played, you don't actually have to interact with any companions at all outside of critpath questlines. Even big blowup moments like the Miranda/Jack fight only trigger once you've completed both of their loyalty missions, and you have to choose to talk to them to unlock those in the first place.
And since I'm assuming you're referring to the Qunari companion, and I've watched a couple of critiques of the scenes I believe you're referencing - it's not their sexuality that's being discussed, it's their gender.
Don't worry, I'm sure there's followup legislation in the works to limit disastrous climate events to a 4-day duration.
(This is still better than anything my country will do, of course.)