I don't disagree with any of the above, but the OP should nevertheless for the time being proceed with the durable POA asap, while she is of sound mind.
All the rest can be later after you have done your homework and made needed decisions.
Is there a significant estate and other hiers in this situation?
Hope your Mom recovers, and you can assist in making the best of her quality of life issues.

Reality check, that half the population is smarter then 50% of the people and it's a constantly contested fact.