This is my take on a Relinquished control deck, and it got me second place at my first Speed Duels locals. It's currently got the standard Relinquished build, I use Twin-Headed Behemoth for the body that comes back for extra ritual fodder and a decent blocker, and Half Shut for how versatile it is both offensively and defensively.
For my side deck I have two Possessed Dark Soul for the mirror, as it's invaluable for shutting down an opponents Relinquished. The rest of the side deck is just spell and trap hate for Amazons.
For my skill I went with Destiny Draw, it's not useful every duel, but when you can use it the ability to fetch whatever you might need, mainly Black Illusion Ritual as it lacks a searcher, it's invaluable. I would also consider experimenting with Millennium Eye due to the knowledge gained from it and the ability to throw back extremely strong opening hands.