The qnswer to my question is probably "no", but I'd like to make sure:

Is there a way to tone down or completely remove highlights from one light source, without affecting the highlights from another?

to make things clear, here is the setup:

One shiny object very prone to highlights.

2 light sources at somewhat different angles and of different color.

Problem: Right now I get 2 prominent highlights of 2 colors. I'd like to get rid of one highlight without getting rid of the light source that's causing it. What can I do?

I'd very much appreciate your help with this. Thank you.