Two questions to consider before going through with such a concept:
1. Are you hoping to entertain some fetish?
2. Will this be the core focus to your character's being?
If you answer is 'yes' to either, then I would suggest not going through with it; you're more likely to offend than anything else.
It should also be noted that 'hermaphrodite' is considered dated at best and distasteful at worst. Think of it as akin to 'tranny'; just not a term anyone should have used to begin with.
1. Are you hoping to entertain some fetish?
2. Will this be the core focus to your character's being?
If you answer is 'yes' to either, then I would suggest not going through with it; you're more likely to offend than anything else.
It should also be noted that 'hermaphrodite' is considered dated at best and distasteful at worst. Think of it as akin to 'tranny'; just not a term anyone should have used to begin with.