Whatever makes you feel comfortable should work. I was told that Emergency personnel do not go through purses although certainly at some point people at a hospital or police may just to be able to identify you. If you have any really serious medical conditions, an ID med bracelet or necklace should be your first line of defense.
Like homeowners insurance, or medical insurance, the hope is that you never have to use them or a medical card. Your efforts to regain your health indicates that you are working towards that goal. I do think the most relevant information you are giving is that you are weaning off of SSRI.