well I have certainly not heard any such rumour, and given the hard work and effort put in by BHX to get AI onboard then I would be shocked if BHX would do anything that would compromise that relationship. as ive said before, I would have assumed that future growth in the india market would have come from future expansion from AI, as Jet Airways have always been routed to MAN and there are no other direct competitors to talk about...
Qatar do indeed have good connectivity to India (I used Qatar to fly from MAN-DEL in 2011 but that was before the AI route) but then again, emirates isn't far behind in terms of connections and AI and Emirates have always co-existed at BHX with no issues....
... though without knowing the rumour, its hard to say!