@Andrea2477 And if you rent long-term on Airbnb, each month's rent will only be charged at the beginning of that month. What many hosts have reported on these forums is they've had guests book long-term, then at the beginning of the second month, guess what? Their credit card is no longer good and Airbnb can't collect. So your calendar has ben blocked from anyone else booking for months and now the guest leaves. Is this really something you are willing to chance when you could probably get some very lucrative bookings over the holidays?
And yes, if you don't live nearby and are just going to leave her to her own devices, she could definitely trash the place, run up an enormous electric bill, invite other people to move in, sublet, all kinds of unwelcome stuff. Or the boyfriend she's split up with comes around and angrily busts the place up.
If it turns out that she has a decent job, and good references from past landlords and employers and you have a good vibe from her, then it may be okay, but like @Ute42, I don't really understand how you think we could be better at knowing if this was a trustworthy person, when you are the one dealing with her. It seems like if she came across as someone you had a really good feeling about, you wouldn't be asking.