What should I do about my shifted nose cartilage? (Photo)

From the photo and your description,  you might have a septal hematoma.   This is an emergency,  and you should be seen by an ENT ASAP.   Another possibility is that you've dislocated your septal cartilage.   You should see an ENT either way.   With admitted bias,  I  would recommend an ENT or facial plastic surgeon rather than a general plastic surgeon in this case.    

Hello and thank you for your question. Based on your
photograph, it is difficult to determine exactly what is going on. I
recommend that you seek consultation with a qualified board-certified plastic
surgeon who can evaluate you in person.
Best wishes and good luck.
Richard G. Reish, M.D.
Harvard-trained plastic surgeon

You should be evaluated in person to see what is going on. You wan to make sure you do not have a septal hematoma. In the acute setting, if the nose is displaced, it can be reset and often centralized.

Hard to tell from this photos what is going on. If you are having a nose bleed that is not stopping, you should consider seeing your doctor or emergency room. Good luck.