Let's pretend that you aren't approaching the subject by committing the etymological fallacy (which you definitely are).
These all come From the OED:
Pussy, n. and adj.
a: Chiefly colloq. A girl or woman exhibiting characteristics associated with a cat
?a1560 in T. Wright Songs & Ballads Reign Philip & Mary (1860) lxxiv. 209 Adew, my pretty pussy, Yow pynche me very nere.
b: nursery and colloq. A cat. Freq. used as a proper or pet name.
1699 T. D'Urfey Choice Coll. New Songs 7 As Fleet as my Feet Could convey me I sped; To Johnny who many Times Pussey had fed.
c: The female genitals; the vulva or vagina.
1699 T. D'Urfey Choice Coll. New Songs 7 As Fleet as my Feet Could convey me I sped; To Johnny who many Times Pussey had fed.
d: slang (chiefly N. Amer.). A sweet or effeminate male; (in later use chiefly) a weakling, a coward, a sissy
1904 ‘M. Corelli’ God's Good Man xxi, I shall invite Roxmouth and his tame pussy, Mr. Marius Longford.