Is my nose damaged or fractured ? (Photo)

Yes, your nose is damaged. Perhaps, your nose is fractured. This maybe, just maybe, might need some sort of fixing. See your local doctor. They will need to feel and see your nose, and maybe get some form of X-ray or scan, to decide if you need to be seen by a specialist. 
Alternately, if the shape and function of your nose is not a massive deal to you, swallow a cup of concrete and harden up. Leave it alone to heal and be more careful around umbrellas in the future. 

The nose does a great job of healing all by itself. The two important things to note is 1. how does it look and 2. can you breathe OK. The only way to know if it's fractured is to have an x-ray done. As the swelling goes down, you can massage the nasal bones in the mirror like you were molding clay. That can usually improve the appearance. Also, use saline spray to keep away crusting internally. After about a month, you can determine, along with a nasal specialist, if any work needs to be done.

It is difficult to tell from your picture whether or not your nose is broken. If it were it would probably nondisplaced.  In either case the issue is not whether its broken or not but rather if it is crooked.  Once the swelling resolves in a few days you need to check.  From what you describe it is unlikely broken

Thank you for the question and photo, but the only way to truly know the extent of the damage to your nose is through an in-person consultation with an experienced, board-certified facial plastic surgeon. If there is a fracture or other damage, early intervention typically produces the best result. It doesn't necessarily prevent the need for rhinoplasty in the future, but it does lower the likelihood you will need additional surgery later on. Get it checked out now for the most effective treatment options and your own peace of mind.

With the symptoms you have and the swelling on your photo, the best thing to do is to be seen by a doctor right away - head to your local urgent care or ER.  It is possible you may have a nasal bone fracture, but you may have other injuries as well.  Headaches after a face or head injury could be a sign of concussion. If you are diagnosed with a nasal fracture by an X-ray or CT scan, you should see a facial plastic surgeon, ENT or plastic surgeon within a week.  If it is a displaced nasal fracture a closed reduction can be performed within the first 10-14 days after the injury that can get the bones aligned back into their original position.  If you wait longer than 14 days the bones will have started to heal and be unable to be reduced easily.  If the fracture is not addressed within the first 2 weeks, it can be fixed by a traditional rhinoplasty once the bones are fully healed a few months later. 

If the nose is not deviated, and your breathing is unchanges, probably it is not a major injury. It is close to impossible to know if there is a fracture unless you get a CT or MRI. Give it some time, unless you have one of the symptoms above, then I would go see a specialist right away.

Sorry for your trauma. There is a probability that your nasal bridge (bones and cartilages on top of your nose) may have been broken and/or have a greenstick fracture (not displaced). The best way to manage this would be to have a full examination in combination with a direct nasal x-ray or a CT-scan if required. If displaced you will need immediate reduction, if not cold treatment and elevation of your head would be enough. Nevertheless, deformities may occur with time which may require a rhinoplasty to correct for aesthetic purposes.
Hope this helps,
Ali Rıza Öreroğlu, MD FEBOPRASEuropean and Turkish Board Certified Aesthetic, Plastic and Reconstructive SurgeonIstanbul, Turkey

Thank you for your question and photo. First, ice the nose within the first 24-48 hours to settle any initial swelling. Next, consult with a physician for an in-person assessment of your nose [and possible X-Ray and/or CAT scan] to determine whether there has been a fracture or break to the nasal bone. I do not recommend delaying consulting with your physician in order heal the nose as quickly as possible and to avoid a deviated septum caused by nasal trauma, which may lead to difficulty breathing, chronic snoring and sinus congestion/infection. Thank you. Dr. Kian Karimi

You need to visit a plastic surgeon. A through exam with X ray will help to establish true diagnosis and It is better not to deal because if it is broken an immediate intervention is simple and key. It would be more difficult to correct it later. 
I hope this helps

If you are experiencing intense pain and headaches after a nose trauma, you should schedule an appointment with a qualified doctor or board-certified facial plastic surgeon as soon as possible. While ice can help reduce swelling, it is important to determine if there has been significant structural damage to the nose. A qualified facial plastic surgeon can assess the extent of the injury and provide advice on the best way to treat your nose.