If she is asking for time alone, let her have it. It's not healthy for couples to be enmeshed every second of their lives under the best of circumstances. And recovery, my friend, is far from ideal circumstance.
She's in a fight for her life. She is re-learning how to function in the world without her go-to numbing mechanism. She needs time and space to navigate this. She needs to learn to trust herself.
You, my friend, need to be ok by yourself sometimes, and with not be included in every moment of her life. If you cannot be comfortable with some level of exclusion, you might want to look into codependency and see if anything about it rings true for you.