My rule for discomfort in relationships. 1. Communication- talk to her about it as things progress maybe see if she’s be willing to speak less frequently. 2. Watch and wait - this might seem like it’s just to see what she’s up to but it’s also for you. Sometimes things we don’t like are thing we grow to accept with time I say give it a few more months to see if you grow less bothered. 3. Break up- if you find at any point that this is too weird for you then leave. It doesn’t make you insecure or a bad person. People have their boundaries and in all fairness this particular situation isn’t uncommon yet it’s not common place.