Predators are usually active beginning in the evening through early morning. But that is definately not hard and fast, they can be encountered at most any time, day or night.
Dealing with a skunk is going to be challenging, once they spray....it is a horrible odor that will linger for weeks if not months.
I live in town, so my personal exposure to predators is nicely limited. But I've caught many many predators for others.
Skunks, raccoons, opossums..etc, predators in general are creatures of habit. If you are seeing this animal during the day, try to find where it's coming from or where it is headed too. Unless disturbed, they will travel the same route almost every day.
I'd find a place where it's crossing a fence, or a creek...somewhere along its path of travel ....well away from your home...where you can set a cage trap to capture the skunk.
Use this type of cage trap...stay away from the common Havahart traps. Havahart was a decent product 20 years ago...but not so much any more.
There are very effective techniques for removing the skunk from the cage trap without the skunk spraying. Unfortunately the only way that I know to remove a skunk from a trap without spraying, involves the death of the skunk.
So that's a personal choice....