If you think she could sit quietly or at least entertain herself without disturbing anyone else or burning the place down I'd do it. It's not like she's never seen your lady bits before.
I voted SS which others have covered - it depends on how old and how the child would behave while there. I wouldn't take DS right now at this age, but I'd consider taking him when he was a bit younger and would have just chilled happily in the stroller for a few minutes.
Re: WDPT?