How can we help mom with Alzheimer's be safe in her home?

We just transferred our mother, age 92, from the hospital to a skilled nursing center for rehab. Mom was treated for atrial fibrillation. It seems that the medicines are working to regulate her heartbeat. Mom has lived independently at a seniors' apartment complex. I hired a caregiver for her about five years ago. The caregiver lives in her apartment complex. She attends to all of mom's needs from fixing her meals, to giving her specific medications to attending to her personal hygiene items. Mom was diagnosed with Alzheimer's disease about seven years ago. Mom does not do anything on her own, with the exception of getting dressed and going to the bathroom. She has never used a walker or cane. The good news is that mom knows she is not at home. The bad news is that mom knows she is not at home. She said this evening that she cannot handle being in the nursing home and she will kill herself. We want so much to take her back to her apartment. We know that her caregiver is the best but is not able to be with her 24/7. What options do we have? Mom will never stay long-term in the nursing home. How can we protect her if we decide it is best to have her in her own apartment? Do we take the chance that there will be no one there if she should fall. This is all so sad! Thank you for your guidance.