I-I won't always be won over just because you bribe me with food, you know!

Literal

A-always food [with-で] mollified-[passive-される] [quotative-とは], limited-not [because-からね]!

懐柔される (passive of 懐柔する 'to win over / mollify') is a formal word for being bought off or placated. いっつも is the emphatic casual form of いつも 'always.' ~とは限りません 'it's not necessarily the case that' denies the universal assumption. The opening い、いっつも with the stammer suggests tsundere-style embarrassment. からねっ (with っ cutoff) adds defiant emphasis.