It was actually Christopher Sly, not Kate, who says, "I'll not budge an inch" in this comedy
Am not I Christopher Sly, old Sly's son of Burtonheath, by birth a pedlar
... [DOC] [TLE] Budge an inch - eNotes Shakespeare Quotes - eNotes.com [PAR] "I'll not budge an inch" is the greatest contribution the tinker Christopher Sly has 
... negative phrasesyou will always "not budge" from somewhere; to say "Oh, 
sure ...