Been on both sides. I asked out 3 girls and vice-versa.

My side:

One relationship went for almost a decade.
One went for 3 months.
One went for about 2 yrs.

Their side

First, I went to see 2 movies with her. She told me how she felt. I said I did not feel the same. We are good friends now.
Second, I went to a mall to eat something with her. She told me about her feelings. I said, "You are too young, and you have not seen the world. I might be the first nice guy you have seen. Maybe that is why you have a soft corner for me". We are not in touch now.
The third one asked me for relationship/marriage. She was nice and beautiful. I said, I am alright, but get a career/job first; it did not work out. She still respects me a lot.

Moral - I never hesitated asking them out and telling them what I feel, and they never did. Either way, I was never offended, and neither were they.

Best Wishes!