Quote from Autymn
HOW do you find trusted care for your children while you work afternoon or mid shifts???
Just remind yourself that any childcare provider is (probably) trained, and deals with children all day.
If for some reason, you're not comfortable with that specific childcare provider, seek out another one... however, you may be told your personal concerns are "silly" or "primitive"... or that there simply are no other options available, so you're stuck with that specific provider.
In the event that there's no other option, ask them what they plan to do with your child, and i'm sure they can explain their plan in a condescending tone, and that will SURELY alleviate any issue you personally have with the provider.
(not meant as a serious response, just a mix of some common replies to concerns about gender preference and PT modesty.... just thought I'd try them out in a different context and see how they fly