Is it normal for a woman to have an aversion towards breasts?

I've never liked breasts. Not mine or others. When I got my first period, I cried because it meant that my breasts would start getting bigger (and they had already started coming in months before that, so I would wear baggy t-shirts to trick myself into believing I didn't have them). It has always been awkward when a woman hugs me because their breasts press up against my body and I'd feel uncomfortable when I've had to change/shower with other females. I hate having breasts, though I don't really notice other women's breasts unless they are pointed out or shown on sex scene in a movie/tv show. When I do, I always think they look ugly, especially uncovered, and are oddly placed on the human body.

Has anyone had a similar experience?