Looking at the Xrays,there is considerable overlap of fracture fragments, if managed conservatively will lead to shortening Depending upon ur occupation, age and daily activity u can undergo surgery or conservative treatment

Surgery has better result and it displaced Better to go for surgery

This is clearly not moving anywhere . The fractured ends are way apart. Pain may reduce with chronicity.

Go for surgery if u are not concerned with a scar on collar bone. Leave it as it is if u are not worried with a bump on your collar bone and change in shape.

We cannot decide anything based only on xray. It depends on how you feel clinically. If you feel that symptoms are improving and your shoulder movements are improving you can try physiotherapy before opting for surgery since it already been 1 month. First try shoulder pendulum exercise and active assisted flexion upto 90°. If you think you are improving then it can be managed non operatively.

Surgery have better result

Can be managed conservatively. Keep doing gentle movements.avoid lifting heavy weight or driving .