Be careful where you go on your own, i generally tend to stick to the big malls, even then u get weirdo's checking u out. Chances that anything is going to happen in a busy mall are very slim but if you want to explore Doha, souks, other funny little places do it as a couple. the bog-eyed staring is really not fun and they seem to have no respect for the fact that i have two kids under 3 with me, but it is only staring, whistling and hooting so far. also dress in the least provocative way possible, not to change your style totally but cover shoulders, knees and not see-through. Good luck and ps. if they get really out of hand following u around a shop call a security guard and get them kicked out! it works!!