I can't really imagine a lady going to see someone on an outcall for a first date.
Most ladys I know will only go on an outcall with known clients. ( I could be completely wrong of course )
So the guy should know the ladys style of date.
I think the lady really should have speeded things up if she knew that she had to leave at a certain time.
Actually incall or outcall the same scenario could apply, as in the guy could bring champagne and chocolates ect..
FFS if a lady waited for me to make the first move I'd never make it past the introductory chat. lol