Try it without the quiver. Make sure the cable slide rod is tight and the slide and cables are put on correct with no cable contact with other. Make sure the draw length mods are tight if so equipped. Check all screws or bolts on everything. Check the timing. Try a heavier arrow. Most all this you can do your self unless you need a press to adjust the timing. Take your time with it since it's all a learning process. Good luck
Take it to a reputable shop and get it a "tune up." As stated if the timing is off it can cause vibration... How old are the strings/cables? If they are original and it' an '05, it's time for some new ones...
The Ally is arguably the best bow that BT has produced. There should be minimal noise and vibration.