You went in to the relationship knowing your partner had a child who was one day going to turn in to a teenager and every one of us knows what they can be like!
When you get in to a relationship with someone who has kids you accept that you’ll never be top priority and their needs will nearly always come above yours. The fact that you’re living in your partners house gives you little say in what goes on especially as far as the daughter is concerned “its not your house” has probably been said more than once I’m guessing by the daughter?
I found that this stops as soon as you and your partner move in to a house which is owned/rented jointly as even if they don’t admit it they understand that you ARE paying towards bills/rent/mortgage. Even if you were doing so before it seems to clarify it in the kids mind.
I’d say to look long and hard about how happy you REALLY are with your partner and if you can honestly say you are then you’re just going to have to learn to live with it. If not then you know where the door is!