Haha no problem. I have raised mix game for almost my whole chicken life ( five years) so I have learned the many painful lessons of game hens! As long as she doesn't go broody you should be fine on the egg gathering, maybe look at a stuff animal to be her buddy for a bit? I know that sounds odd but some birds grow attach to stuff animals which calm them down until their future flock mate appears.
Now, I do not know the weather in Peru at the moment but is it starting to become winter down there? With less light a hen laying may cut back, and on top of stress of new home and chicken parent ( ) she might be a bit high strung about feeling 'secure' on laying her eggs. As long as she is bright eyed, bushy tailed and over all her normal nature and not having any odd stuff going on around her vent she should be healthy.
Hahaha, sometimes she's interested in my adopted dog but the dog is unpredictable a little bit and I don't let her much around my little chicken, only in my presence and a limited visit :D. In Peru starting summer, yesterday was a little bit hot and I was preoccupied about her because she had the mouth open a little while, I supposed was because of high temperature in the air. But she lives in a space that is like an open balcony (my laundry room) and around have ceramic tile that doesn't warm too much the ambient, always fresh water, grains, alfalfa, sand. Here in Peru the day light is until about 6 pm all day of year, no matter winter or summer, and she become sleepy around 5:30 a clock.