Not really, no. Just make a promise to yourself that you won't do this again.
It's definitely not your place, no. Don't insert yourself there. It's up to your friend to deal with this.
Eh, if she tries to get in touch with you again to "hang out", be honest with her. Tell her you're not okay with what happened and prefer to leave this friendship be. Otherwise, I wouldn't reach out to her. I would let this fizzle.