I don't think her case is aggravated enough so she should take medications.
Feeling like dying is where I draw the line.
As someone with a lot of experience working with anxiety patients, I can tell you this: not all of them need medication. It's important to determine whether the source of the anxiety is inside or outside. A lot of patients feel anxious and stressed because life is hard, bad things happened to them and they're under big pressure. This type of patients usually don't need medication. They need a vacay. They need to relax, meet people and have fun.
Other patients have good lives, many friends, a steady love partner, no health or money problems at all, and yet they can't enjoy anything. They should be happy, but they are wrecked with anxiety and stress all day long. This is the bad anxiety, the one that comes from inside, from the brain, from an anxiety disorder. This is where anxiolytics are needed.
From what I've seen of Hime-chan, her stress comes entirely from the inside. And if it's bad enough to make her feel like dying... yeah. A spot of medication might be in order.