RAF Cap Badge for Balmoral Bonnet?

[room2ndfloor]

This question is especially for our military/veteran members. My Dad would know, but just last year he got promoted to the Lord's Army. ith:

I have a brass cap badge from the RAF. It fastens with a cotter pin. I got it at an estate sale in a bag full of military patches. Would there be anything improper to offer it to my sweetheart to wear on his Balmoral bonnet?

Here are the circumstances. We are assembling his first kilt kit for Scottish events this summer. He is a USAF veteran (flight navigator) and his own late father served in the Royal Air Force before the United States entered WWII. This father had a Scots family name and was keen on his Scots heritage. As soon as Sweetheart got the new kilt on, he said, "I wish Dad could have seen me in this."

My intention is that the RAF cap badge be a tribute to his father, and by extention, the father's Scots heritage.

Here is an image of the badge. Mine is less oxidized.