They wouldn't have grounds to ban you unless you've done something illegal to make that money.
A few years ago I had an incredibly lucky streak where I started with £500 and withdrew £35,000 within a couple of weeks mostly through sports but also a couple of big wins on slots. I got a phone call asking why suddenly my stakes were much bigger than before and basically asking if I was ok and not gambling too much, but there was no suggestion of getting banned or suspended.
I have probably put most of that back in during the years since, but such is life. It did buy me a car and a few holidays at the time.