The little kaffir lime sprout is doing just fine. It's now grown to the point where it will be hard to kill it.
It's my experience that citrus in general are very hardy once their roots take hold and they have a few leaves under their belt. It's not like they use a belt for anything else.
I still haven't added the extra grow lights to the plant hutch but will hopefully get this taken care of by the end of the week before we have company come over.