Via the link Kayte shared, Rudy will be evaluated at increasing activity levels, and must prove to be symptom free at each stage before advancing to the next. Gay will, in all likelihood, miss somewhere around a week's time. With the season winding down, it's difficult to see a scenario where the Kings even attempt to rush Gay back into action.
The Kings convey their first round draft pick if it falls outside the top 10 picks. The Kings currently have the 6th-worse record in the league. If the current standings held, the Kings could pick no lower than 9th.