It depends on what you mean by sensitive.

If you mean that you are nurturing, quick to see other's needs and meet them, good at listening to someone in order to understand them better and expand your worldview, and are not afraid to show and express a range of emotional nuance or other "feminine" attributes, then that's great and we need more men to be like that.

If you mean that everything sets you off and therefore everyone has tread carefully around you, then you have some personal work to do.

I tend to prefer a sensitive man, with a macho edge in there somewhere ! One who can cry without embarrassment, and yet not be easily intimidated by anything .