I see a periodontist. I want to see the one my own perio. Uses. If I ask the front desk, they will inform my dr. If I ask him--he will be annoyed.?

Why not? You are entitled to use anyone you would like. It is your body. If they get annoyed, then you might want to think about another dmd as well.
What is the problem? Are you unhappy with your care? Is there something specific about the office that bothers you? It would be great if you could verbalize to your periodontist what your concerns are. Once out in the open, it can be discussed and you may no longer have the desire to change offices.