Ballsy New York guys

I've always been amazed by guys in New York and how they have no problem just picking up a girl anywhere. It can be on the subway, at the gym, in the supermarket...it's all fair game if they are interested. I never was like that. In my single days, I might see the same guy for a year at the gym--perhaps taking notice of what days he is there and try and time my workouts accordingly, but I would never say a word, out of fear of rejection (lame, I know, but I was never good at the pick up thing).

Which brings me to my point. Walking to work about a month ago, a guy around my age stopped me to ask me where I was going in such a rush (hi dumb ass, its 9 am on a Tuesday, where do you think I'm going). I said work, he said where, I said the West Village and I started to walk away while he started to ask if I wanted to grab a coffee sometime. It was cold and my gloves were covering my most obvious sign that I am not available so I said, "I'm engaged" and left. Then today, walking the same route, I see this guy. He stops and asks where I am going (he apparently has dementia as well as not being too bright), I again say work and he says, "Well you look absolutely amazing today." All I could think, besides being flattered, was what is the point in wasting your time/breath/effort/pride and all of that on a women who is engaged?