@Anna10179 Of course no one wants to be woken in the night. It sounds like you haven't been around kids much and didn't realize what to expect. Children cry, they sometimes throw tantrums. And maybe she doesn't have great parenting skills and is overwhelmed, not knowing how to handle these things with her child. I'm sure she doesn't like being woken in the night, either.
Don't dismiss the possibility that there are things about living with you that bother her, too, but she hasn't mentioned them. It's hard to share a home, even with a friend, let alone a stranger, especially for months on end. She probably isn't hosting because she relishes sharing her home, she likely needs the money.
If you really feel that you need to talk to her about things, maybe write it in a letter. It's easier to digest something written, and the other person can think about it for awhile, without instantly reacting, as when having a face to face talk. You can also look at what you've written, revise if necessary, instead of saying things that can't be taken back and regretting it afterwards.
Just say that there are things that are bothering you, and probably things that are bothering her, that you acknowledge that it's not easy to share a home, but you feel you gals should talk about it, so resentments aren't festering. Point out that you feel you've been a good guest, cleaning up after yourself, respecting not to waste electricity, etc.
Then talk about what you feel needs sorting. Just be yourself, be honest, you sound like a polite, not rude person, so that shouldn't be too hard. Close by saying that if there are things about you that have been bugging her, and she's been too polite to mention, that you are open to hearing them, so the experience of sharing the home works well for both of you.
But keep issues separate. Her child crying has nothing to do with the garbage, and what she pays for the apartment compared to what you pay would be inappropriate to talk about.
And it doesn't matter whether other hosts expect their guests to take out the garbage. Every listing and host is unique and there isn't one size fits all. Some hosts expect short term guests to strip the bed and start a load of wash, take out the garbage, sweep the floor, clean the oven, and some hosts expect nothing except that the guests don't leave a mess behind them . What was true for one Airbnb isn't true for others. It's very individual.