In biology, "hermaphrodite" means an organism that has both "male" and "female" sets of reproductive organs (like snails and earthworms). In humans, there are no actual "hermaphrodites" in this sense, although doctors have called people with intersex conditions "hermaphrodites" because intersex bodies do not neatly conform to what doctors define as the "normal" male or female bodies. We find the word "hermaphrodite" misleading, mythologizing, and stigmatizing. Although some intersex activists do reclaim and use this term to describe themselves, it is not an appropriate term to refer to intersex people in general. In short, snails are the hermaphrodites; humans are not.
Also, please avoid using the word "intersexual" as a noun; we prefer "intersex people" or "people with intersex conditions/experiences."