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It is implied that Miss Tuffsy discovered that Granny was trying to fatten her up to be eaten so she ran away from Granny.
In the episode "Have You Seen This Snail?," Granny mistakes Gary for Miss Tuffsy and treats him like if he were her: they go shopping, go to a beauty salon, listen to music, and watch movies. After Gary realizes her plan, he escapes her house and goes back to SpongeBob. Granny follows him and then picks up one of the alley snails that Gary met in the alleyway, thinking them again to be Miss Tuffsy.