I don't want to give up my gaming room.
Why are you being asked to give up your gaming room?
Whenever my girlfriend is upset I retreat to that room so I don't have to hear her.
Wanting to keep a place to go to be by yourself is fine but you shouldn't be avoiding your partner just because she's upset. If anything you should be trying to comfort her. I get why she wants to you get rid of your gaming room.
I just need a place to clear my mind.
Having a place to go to clear your head is a great thing to have, but you shouldn't use that as a way to escape interacting with your partner.