Green’s Dictionary of Slang

not care a fouter v.

also ...a footer
[Fr. sl. foutre, to fuck v. (1)]

to not care at all.

[UK]R. Ellis Catullus 17: Sweets more privy to guard than e’er grape-bunch shadowy-purpling; / He leaves her alone to romp idly, cares not a fouter .
[UK]M. Marshall Tramp-Royal on the Toby 14: I didn’t care a footer for how romantic the name sounded.
[UK]Partridge DSUE (1984) 423/1: late C.16–20 ob.