It was actually Christopher Sly, not Kate, who says, "I'll not budge an inch" in this comedy
In another comedy written not long after Shrew, however, Launcelot 
Gobbo... [DOC] [TLE] To Meet One's Match: Mutuality and Jest in The Taming of the Shrew ... [PAR] In The Taming of the Shrew, Shakespeare does not make light of abuse or ... 
unlike the later confrontations between Petruchio and Katherina, but the comedy 
is in ... decides to bring in the authorities, he responds with I'll not budge an inch, 
boy.