How to Repair Twisted Cartilage

From your pictures it appears that at the time of taking down the bone the lateral cartilage on the left may have been separated from the nasal bone creating an  indentation just below the bone on the left.  In addition there is prominence of the septum in your side view which is creating the fullness in the side view. 

I feel the best approach would be an open rhinoplasty taking down bone and cartilage in the central third and placing a spreader graft on the left to lift out the left lateral cartilage and realign it with the nasal bones.  Lastly, I would address the fullness in the tip cartilages.  

This is a situation where computer imaging may help you to better appreciate this correction.

The cartilage and bone in a nose need to interrelate in a smooth transition. Under the skin the upper one third of the nose is bone and the lower  two thirds are cartilage. It looks like there is an "inverted V" problem in which you can see the bone above and then you can see that the cartilage lower down has separated or collapsed in. This usually requires spreader grafts, and in the case of a twisted nose, also osteotomies or a rearrangement of the nasal bones. The tip cartilages look slightly asymmetric and probably will require suturing. The septum may be contributing to the twisted look and needs to be examined for internal deviation. The lower fullness on profile can be reduced at the same time as the other surgery.