You may be lucky, or not.
Some months back, I got let down and trawled AW, and found a girl touring in the same town. A quick email, it was just after 8pm, and I was in there at 10.30. She didnt show any tiredness.
In contrast, after a biz dinner in London, I arrange for a young Aussie girl to come to my hotel for an outcall. After one fuck, she fell to sleep.... Not sure if she was literally shagged out or had been working as a waitress or something. I was in two minds whether to leave her or wake her. Could have done anything I wanted too, but I am too much of a gent....
That said, I've never had a morning punt, always 2pm onwards. Maybe I should try it?