NO-- your gut feeling was right.

Rescheduling is the booker's option, not the performer's-- unfair fact of life. Once you accept a booking, as far as the booker is concerned, theirs is the only booking on your schedule that you really care about. Each booking, once made, is your main priority.

You say to the second place, "Thanks, I've always wanted to play at (name of venue)! But that date's already booked, so what are some other dates we could look at?"

~Susan