The OP is quite right to bring this up for discussion, it shows she is mindful of other people's feelings, even if her fears of what other parents may think are groundless , the world has sadly changed and not for the better
How many of us has ever wondered if there is any person (make or female) viewing whose intentions are not honerable? I will be honest and will say I haven't given it a single thought at all until I read this thread.
I am putting my trust into our gym clubs safeguarding and welfare policies and procedures and don't want to think of the other side of things.
Sometimes the unthinkable happens, in my home town a man was caught exposing / pleasuring himself in front of a children's nursery / day care centre in daylight during operational hours a few months ago . These events are rare but sadly do happen.