I also feel uncomfortable at being stared at, so I know it must be disconcerting for you.

I went out and bought an Abhaya which I wear if I know I am going to be anywhere around a large number of men, just for my peace of mind.

In western countries, women can wear what they like. It is often brought up that women dressing revealingly can be the reason that they are raped. But I feel its your prerogative to wear what you want and still feel safe.

However in a country like Qatar, unfortunately, wearing clothes that reveal to much, definately invites unwanted attention, and possible danger with it. So for your own safety, wear jeans and t-shirts as far as possible out in public. But feel free to wear whatever you like when hanging with friends or at home.