Remember, a no from one woman means one step closer to a yes from another.
Yes, yes, yes!
This worked well for me: "I don't know what your situation is but I know I'll regret it all day if I don't introduce myself. My name is Yeildo."
Look her in the eye (if we believe the experts, look into her left eye) while saying this and reach out to shake hands.
I used this many times. I did not always get a date but I never had any kind of "creepy" response. Even women in a relationship would thank me for approaching.
Women often would say "we should go have a drink" before I had made any invitation.
And if the answer was no I NEVER tried to talk anybody into anything. Getting the date was not the goal. The goal was meeting the right one.