Any quick-release device with skewered axle has less force holding the axle in place on the drop-out than a bolt. Thus a single-speed or fixed gear, which relies on specific position in the axle for chain tension, is not recommended to use a skewered axle on.

Your bike should work fine. Should. Particularly if the frame is true and the wheel is straight in the frame with the axle all the way up the dropout.