Correct. Chinese elm.
Are you in the process of repotting or is that how it came?
There are a lot of roots exposed to the air in that picture. It probably won't harm the tree but most of those fine roots will die and you will just be left with the longer, thicker ones. I think the tree should be potted lower in the pot - remove some of the deeper roots in order to save the lateral surface roots.
The potting soil looks very fine. Peat? It is possible to grow trees in small pots in really fine potting soil but not really easy. Most of us use a larger particle potting soil that has better drainage properties to avoid root problems when trees are kept in small pots.
BTW. Chinese elm can be kept indoors but that, too, is difficult. Much easier to keep it alive if it has a place outdoors in wind and sun.