In Arabic, this is the name of the peregrine falcon. At least dominantly given to males. I don't recall a single female with this name. It is however of Persian origin and seems to mean something like "royal, kingly".
Shaheen originates from two cultures - Arabic and Persian.Arabic: only for men or a family name. It is also the name of the precious breed of falcon.Persian: unisex name, but mostly for women. It means royal, kingly, belonging to the king.