I brought this cutting back from Hawaii and have managed to successfully get it rooted nicely. A couple of weeks ago I noticed that the leaves started to kind of droop on the sides where they were originally more flat. Is this normal? I was afraid I was over watering so I repotted it in new soil. Waited a week and a half to water and it still looks like this. I was only watering weekly to begin with. Oh and I live in Southern Indiana and have it sitting in a north facing window in my sunroom. I don't have any on the south side. Any suggestions or help is greatly appreciated. I have attached a picture.

If it was doing fine and then wilted, you could have easily over watered it! The fact that you repot it does not cure or fix the problem.
It could take several weeks before new roots will grow. You should not be watering it much at all. You caused the roots to die back and rot from too much water. If you water right after repotting, why do it? There are not many live roots that can take up water.

I did not water as soon as I repotted it. I waited a week and a half. All roots still looked healthy with no root rot or anything that I saw.

Looked healthy?
I don't understand. If the Plumeria was doing pretty good and it started to droop suddenly, that often means either over watering or under watering. The roots die and do not disappear right away. Just because they are fibrous and brown does not necessarily mean that they are alive. They could be damaged from the improper watering.
I am looking at this as a simple equation, the clues that you mention lead me to think of a water issue.
Plumeria are semi tropical or tropical plants. Water, warmth and sunshine are the keys to good growth.

If you want too, I would just cut off the bottom of the plumeria to healthy area. Let it sit for a week or two until it forms a callus. A callus is like a hard, dry scab. Then after the scab forms, place it in a pot, not too large, and wait for it to root. Do not water at all. It should root rather quickly. After you are sure there are new roots you should also see new leaf growth at the top. Lots of leaf growth!! Then you can water a little sparingly. They do not like being too moist or soggy.