gold-plated

Wearing a watch that has gold plating

Q: I bought an automatic watch that was stated to be all stainless steel. However, I was looking through the  case back and it appears that the rotor (instrument that winds the watch that makes it work) might be gold plated. I looked online and it does seem like the rotor is made of steel, not solid gold. The rest of the watch components, such as the dial, hands, markers, case, strap, buckle & case back are either made of steel or crystal.  Would it be impermissible to wear such a watch if the rotor (or any other mechanical part on the inside) is gold plated?  If that is the case and I have been wearing that watch for the past 8 months, what needs to be done? Should I sell it or would that also be impermissible?