Bleeding from the bladder or urethra could show up as blood near your clitoris. Blood coming from the clitoral erectile blood vessel network is possible, but you would have to have sustained some minor injury there. Jul 01, · Clitoral atrophy occurs when the clitoris stops responding to sexual arousal and no longer functions as it should. The clitoris can even disappear. This may be the result of a change in hormones or.