I agree with the above post on injectable antibiotics,i would get her them soon as possible. Clean this several times a day,you can use a saline solution or soap/water,but if wound appears infected keep using diluted peroxide or salt water flush.
After seeing this updated photo, there is no way to suture this wound as there is not enough skin left. Remove necrotic tissue(dead black tissue,dead tissue can also be yellow/green)you can do this by flushing repeatedly with sterilized cooled water.The reason for removing necrotic tissue as soon as possible,is the tissue is decaying and can cause a serious overwhelming infection. This will heal from the inside out,but infection is going to be the biggest challenge as wound went unnoticed for a couple of days and puncture wounds from an animal are nasty and filled with bacteria. What for signs of infection: foul smell coming from wounds,swelling/redness,spreading swelling/redness,bird becoming lethargic,not eating/drinking.
Keep her warm,when ill/injured birds cannot regulate their body temp so additional heat is required. Keep her inside and keep her separated from other birds.
For pain,you can purchase Metacam from a vet or give her a low dose aspirin(81mg) or regular aspirin(325mg),dose is 25mg per lb of body weight. Crush and place in water or sprinkle over feed or give orally(wrap in a pce of meat or cheese). Make sure she is eating/drinking.