Start by checking collimation. Look at some stars out of focus. You should see a central disk and probably an outer ring. They should be round and symmetrical. If not look up how to collimate a newtonian. There are plenty of sites.
However, to me it sounds like a seeing problem. Either the atmosphere was very poor and/or Saturn was low in the sky and/or the scope wasn't properly cooled. Oh, and is your eyepiece clean? Just because it's new doesn't mean it's pristine.
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