Sometimes when we are injured or hurt, our mind turns inwardly and focuses on our own pain and hardship. The result is that we forget that out in the world, there is much evil and hardship, and we need each other. First, I would suggest that you make your daughter come with you and be among people. Generally, people don't look down on injuries or bad features as a disgusting thing. We actually look at the character of a person, and being among people can show that. I would also encourage you to go with her and help others who are less fortunate than her. She can really bless a lot of people. There are people with disabilities, homeless, and many others who strive despite their infirmities. In fact, they are often in that position to be a beacon of light for the rest of us who take these things for granted.
I myself was injured at 17 with a broken back, and almost died at the end of that year from severe fevers and a burst appendix/poisoned liver. I live every day in pain. It is hard to focus, and due to fevers, my brain has been burned and it's most difficult to remember some things, but I live with it every day. Every day I take one step forward, and if I was perfectly healthy and had no issues, I wouldn't be on here able to talk to you about this.
There are many things in my life I wish were better, but not a single one of them I despise. I can easily see the many things God has used in my life for good through this horrible situation. Your daughter may have a collapsed nose, but she can still talk, move, and take a new step forward each day. It will be hard. It's hard to get out of bed when there isn't anything to look forward to, but remembering people around her love her can help. Suicide is also a selfish act in that it neglects the concern of others and what it would do them. Remind her that you would rather have her alive and thriving with a broken nose than dead and gone with a missing hole in your heart where she once was.