@Chief That's a possibility; which could lead ultimately to Peter Fleming being moved aside himself by the end of the season. Aka, end of Chess arc-story, and welcome to another super villain for an eventual season 2.
Unfortunately, we'll never get the answer to that.
We already have the answer! Let me explain.
Peter Fleming 1.02 Tarot , at his appartment with Cain and Vince : "I payed your Masters well, Cain". Remember Cain is the "Tower" card in the Tarot organization.
Peter Fleming 1.06 Googles and Hicks, talking to Goggles at the beginning : "The Masters speak very highly of you and your partner"
Peter Fleming 1.06 Googles and Hicks, talking to Hicks at the end : "All i know is your Masters said you get the job done, and yet here you stand empty-handed...You're fired...And you can tell the Masters i won't be using them again."
The last sentence of Peter Fleming says it all. When The Masters will learn from Hicks's mouth that Peter Fleming wants to get rid of them, it will piss them off and lead the Tarot organization to take him down in return.
The writers insist too much on The Masters and Fleming's last sentence is too obvious to decode so that it wouldn't lead to a confrontation between them.
There could be a twist though; Chess could be The Masters himself without Peter Fleming knowing it (we know for sure he suffers from personality disorder).