Not to dampen your spirits for the holidays or your GM, but at this point there is little to be done. Find a sunny place in your home and with time the head will grow nicely. Next spring, you can behead the plant where it is missing leaves and re-root the top after a week of callousing. The base should grow new offsets.

Your bigger problem could be:

#1. it is potted in a cup which I doubt has drainage holes - hope I am wrong?

#2. what kind of 'soil' is there? It needs to be fast draining mix.

#3. why are leaves wet? - succulents should not be watered all over, just the medium they are potted in.

All of these will contribute to plant possibly rotting.

Ps: take those 3 leaves, put them on top of mix and do not water - if healthy enough, they could start growing roots and new plants. One looks like it is broken, so it may not grow - but I can't see it well enough to be sure.

Is there a drainage hole in that tea cup? (To me it's too pretty to drill & would find it a different pot). Ohh and try not to get the leaves wet when watering it could invite more problems, like rot.

In any event, the plant will not fill out anytime soon, sorry to say. Very sweet idea, but you would be best off looking for a replacement plant.

Without drainage holes in that cup, few plants will work well... though you might find a small pot or cut a plastic cup/container down to size to fit in the teacup (making sure to put some drainage holes in it. Then, after potting in the plastic pot, it could be set in the teacup. When watering, the plant would need to be removed from the teacup, allowed to drain, then placed back in the teacup.

Btw, hard to tell, but looks like the plant was already becoming a bit etiolated (stretched out) indicating more light would be needed.

As far as getting the plant itself wet when watering, I've never worried about it. As long as there is good air circulation and it isn't chilly in the room, should be a problem.