Green’s Dictionary of Slang

furry hoop n.

[SE fur/fur n. (1) + SE hoop/hoop n.1 (2a)]

the vagina.

[Aus]B. Humphries Barry McKenzie [comic strip] in Complete Barry McKenzie (1988) 93: The randy old bastard can’t think of anything else but puttin’ his fantom ferret through the furry hoop.
[Aus]B. Humphries Traveller’s Tool 56: You stand a good chance of getting the ferret through the furry hoop.