Hi squiddy welcome to HC. It's good to have the vet check out the wheezing. What kind of substrate are you using? Where is her cage in the room (what is it near-- a window or radiator?)
Hamsters are fairly nocturnal which means they sleep all day and wake up at night so that is normal. She will like to run on her wheel at night. What kind of Hamster is she?
You said she squeeked when you were petting her in her house. If you had disturbed her sleep in her nest inside a house in her cage I am not surprised she squeeked. Hamsters, like most people, do not really like to be woken up or have their houses invaded when sleeping! I know you meant no harm but she was likely either frightened or grumpy.
Try setting an evening time around 8 or 9 when you encourage her to come out of her house on her own with a treat. Let her come to you instead of you going into her house. If you give her the treat at the same time over time she will start to get up for the treat and you can play with her then.
Good luck at the vet let us know how you get on!