The chances of a girl being offended by being asked out are relatively low in any case; most people are nice. They’re really, really low if you’re attractive. When an ugly, charmless or poor man asks out a certain kind of girl they’re offended not just at having been asked out, but that the thought even occurred. Most girls aren’t like that. They’ll deflect the question or say that they’re busy and make no effort to reschedule.
My email is in my profile for anyone who has similar problems.