This means that it is likely that marriages will continue in Utah until the lower court rules on the the emergency stay request before it which is scheduled before the Court at 9:00am on Monday. However, until Judge Shelby issues a decision on that stay request (or Utah appeals the 10th Circuit denial to the Supreme Court) same-sex marriages will most likely continue.
Buzzfeed's Chris Geidner reports:
Utah had requested a stay before Judge Shelby and the 10th Circuit and so the denial means that they will have to argue their motion in front of the same judge who has so far ruled against them on the merits of the case. You can read the text of the important orders and decisions in the case here.
Hat/tip to Chris Geidner