Dkny ladies watch winder lost and watch stopped

DKNY is typically a quartz movement and doesn't have a "winder". I believe the part you are referring to is the crown. The watch may have stopped working for several reasons. The first three things I would suspect is that the battery died, the watch is in the set position, or the movement was damaged when the crown was coming off. If the watch is in the set position then pushing the stem in will cause the watch to run. The next thing to do is to replace the battery since it is only a few bucks. If it runs then you can replace the crown and your set. If it doesn't run I would suggest replacing the movement along with the crown and that you will have to price and see if it is within reason since this type of repair wont be covered under warranty.
Depending on the model of DKNY you may have to go through DKNY for the part. Remember that they are manufactured by Fossil. You could save yourself a lot of time by going to your local watch repair shop.

Thanks!