I whole heartedly agree that its the best decision to bring her home. I can't see the reasoning behind leaving her alone post surgery
I too would worry that something could go wrong and noone would be there to notice. I also agree with LadyJane to make sure that she has pain meds to manage her pain. With your tender loving care and being in a safe and comforting place recovery will be so much easier for the little doll. I don't know anything about glue vs stitches so cant weigh in on that topic.
Glad to see that you obviously care so much about your little girl, she's in good hands
Let us know how she is doing post-op.