I have a DS 18 and a DD 22m. I am a single parent, live miles from anywhere, buses stop running before 11pm.
DS has gone out tonight. I hope he has a great evening. I shall not wait up for him, nor jump in my car to pick him up. He knows the last bus leaves town before 11pm.
How DS gets home is something he has to consider when planning his night out. He knows I cannot drop everything and pick him up unless he was in trouble of any sort. Of course, if he phoned me at 3am and said he needed me, that he was in trouble of some sort, I would get DD up, and drive the 16 miles to the town to pick him up.
I've had no problems so far. It has made DS think and organise his social life around his circumstances, and we get along just fine atm.
If DS had been attacked, of course I would be wary, but imho, it is up to DS to be responsible for himself and part of that is making his own decisions.
What time does your DD want to stay out until? Will you make it later as she gets older, or will it remain the same time so long as she is living under your roof?