Here's a thought that recently occurred to me...
What if the Devil that Wyatt is referring to is the Undertaker, but the Undertaker doesn't know it? He could end up playing Bryan and Taker off each other, trying to use them both for his own ends. This can help establish him with the fans as a manipulative heel with a flair for chess like strategy (thinking several moves ahead).
Somehow Wyatt will get Bryan to confront the Undertaker, but even if he denies being "the Devil" you know Bryan won't believe him because of his past mental issues. This leads to Bryan siding with Wyatt for a while. All this time Wyatt is wanting to face Taker at WM, but the whole plan backfires because of Bryan. With the chip on Bryan's shoulder, he harasses the Undertaker constantly until he agrees to face him at WM.
But before the WM match, Bryan discovers that Wyatt had been lying to them both. He doesn't want to face the Undertaker based on a lie, but Taker smacks some reality into him reminding him that if he wants to be a top dog, he has to man up and face him on the biggest stage. So instead of heel Bryan vs Face Taker, we get an honor match between two faces. This sets up the perfect opportunity for Bryan to get the rub of ending The Streak. Especially if Taker taps out to him, which would be truly symbolic as "passing the torch".