It is never wrong to say NO to keep our children safe.
I would say NO too! Your daughter will thank you one day!
Your daughter will probably break your rules sometimes but why give them an opportunity and an availability to be in a situation that they may not be ready to handle.
It is our jobs as parents to keep them as safe as possible, teach them God's laws and when they are adults and out from under our households let them make their decisions. It doesn't hurt any less when they decide to choose things they shouldn't but as a parent you have done what you can while you were responsible for them.
If they were small would you leave them unguarded at the edge of a cliff??? There are many cliffs in life...