carg Those are not the common definition of transgender or transsexual. Transgender and transsexual are fairly hard to distinguish, the way I understand it, transsexuality is pretty much the underlying biological phenomenon (the genitals developed one way, the brain another), whereas transgender is the mental state of considering oneself a different gender identity than the genitals point towards. But I am no expert and may be mistaken on that. But between sex and gender, sex is always the biological/physical part and gender the social one, which does not align with your definition.
carg I have not heard of the opposite, for women who want to have a man's bulge, but there might be belts with an external tube that could also fit a woman's anatomy? Or just put a rolled-up sock in their panties over a female belt?
There are actual items called "packers" that can be placed in underwear to give the lower body a more masculine shape, ranging from cloth cups to silicone penis replicas. Though right now my imagination is running a bit wild... some belts have attachments for a strap-on dildo, and I am kinda imagining a flaccid strap-on now.