Homoromantic heterosexual refers to someone who uses the split attraction model and is sexually attracted to the opposite/dissimilar gender(s) (heterosexual) and is romantically attracted to the same/similar gender(s) (homoromantic).
It can refer to women who are sexually attracted to men and romanticallly attracted to women, and it can refer to men who are sexually attracted to women and romantically attracted to men. It is a form of being varioriented.
Someone who is heterosexual homoromantic can also call themselves straightcian or straightbian. The opposite of this is homosexual heteroromantic.