Is this senctense correct

I think it should be: My shoe came off my foot while hurrying to class.

The heel came off my shoe while I was hurrying to class. (Otherwise it sounds as if the heel was hurrying to class.)

Milandobrota -- "My shoe came off my foot" is not at all the same as "the heel came off my shoe."

Sorry, my bad. The heel on my shoe broke is what I hear.

Right, that's the way I understood it. (After posting my previous reply, I realized that the sentence was ambiguous -- "heel" could mean part of the foot rather than part of the shoe, in which case your interpretation would be the correct one.)