IIN that some women are offended if a man thinks they are attractive

I didn't read the whole thing but what you said is basically true. So it's "just a hello" (even tho the OP makes it clear he is attracted to her and has checked her out). It's not offensive, I'm not gonna roll my eyes or anything like the OP said; but I'm not gonna be all that impressed with him either, since (based on experience) majority of the time guys want to talk to a female is simply cause they find her physically attractive, and otherwise have nothing in common, therefore cannot hold any meaningful conversation. (but keep around like a dog as you said..lol. "beta orbiters")