There are no guarantees. If your reasons are legit to a doctor and he gives you the recommendation, that is only one step. It gets sent to the state where a panel reviews it and then they accept your money order if your legit. Then they take a couple weeks to print you a card. Takes around 2-3 months its not a speedy process, nothing is with the state. At least that's how it was a year ago.
Sorry, anxiety nor depression are currently on the list for acccepted uses of mmj. I would have gotten my card for either one of those reasons. But its not chronic illness its chronic pain. I was able to get mine for constant joint pain which is chronic pain although I still use it for anxiety/depression. Take it as you will.
I'm on two different meds, but no nausea. There are a few other unpleasant side effects that the cannabis helps, but nothing covered by the card. <sigh>