I have taken time off to care for my bearded dragon when she had fluid in her lungs from her heart problems. Thankfully where I work nobody asks or cares why you take off work as long as you still have the days available to use. Truth is, most people I work with do not understand anything having value beyong their own brat children, so I'm pretty sure they don't understand my love for my animals.
Wishing your hammie the best. 😊