Garment that's not right for my wardrobe (4,6)

I believe the answer is:

body warmer

I'm a little stuck... Click here to teach me more about this clue!

'garment that's not right' is the definition.
I know nothing about this answer so I can't judge whether this works.

'my wardrobe' is the wordplay.
'my wardrobe' can be anagrammed to 'BODY WARMER'.
However, I'm unsure how this is indicated.

'for' is the link.

Can you help me to learn more?

(Another definition for body warmer that I've seen is " Padded jacket".)

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.