Should I let my aunt go or see if there is still hope?

My aunt is mentally disabled and is 58 years old. She has pneumonia and been in the hospital for the past 20 days. Now from research pneumonia can take a while to get rid of. When I go see her she is aware and has responded to me. She just got of the ventilator like a week ago and they had to put her back on last night cause she has too much mucus in her right lung. So they are going to do a tracheotomy on her. they said this will allow her to be suctioned more easily and deeper in the lungs. My thing is when they look at her they see a feeble older woman. My aunt has always been small. The social worker at the hospital told me they can do the tracheotomy this Friday OR put her in hospice and let her go. I feel like that is a little harsh. Or is it just me. My aunt is not able to tell us her wishes so its up to my family. I was wondering if anyone had experience in this and just thoughts on what should be done. I just want her to get better so we can bring her home. I don't know what it is to have pneumonia so I don't know what I would want for myself. My aunt does not look in pain. She is just healing in my eyes. Tell me what you think.