Oh yes, she'll be fine. My Dexter was fixed and he was only 4.2lbs. 5lbs is fine to have them fixed. Yes, shes small and I would be cautious with a clinic type place where they are put under, fixed in 10 mins and then put in a crate to recover. My Dexter went to a vet hospital. He was constantly supervised and made sure that he ate, drank, his vitals were stable all day after he came out of it, and they only sedated him to last a little bit of time, so he was completely awake and aware when I picked him up at 430pm.
Fletcher went to a clinic (he was much bigger at 9lbs) and it was a lot cheaper, but I took him home and he was groggy all night, barely waking up, no food or drinking. It was a bit harsher I think for him than Dexters was for him. Poor little guys!
__________________ “Petting, scratching, and cuddling a dog could be as soothing to the mind and heart as deep meditation and almost as good for the soul as prayer.” ― Dean Koontz |