Great, thank you for asking
So happy to hear the cup was well received! It'll be fine in the microwave but it might get very hot, so I would generally avoid doing so, if possible. The cup won't discolor or shatter but it might weaken the structure of the cup in the long run.
A trick I use in my own house is to pour the drink into a glass pickling jar and to microwave that, then pour the drink back into the cup.