What is the past tense word for shoe?

The past tense word for shoe is shod, you can even look it up in a dictionary.

shoe is not a verb so it cant be in past tense but can have a past tense verb
i am wearing the shoe= i wore the shoe
i have a cool shoe= i had a cool shoe [i have a cool pair of shoes= i had a cool pair of shoes]
Shoe is a verb, as in shoe a horse, past tense shod