These fractures are commonly managed by plaster only. Do get a well padded cast for 3-4 weeks. And then gradual mobilisation using brace.

Morning It’s an Lat Malleoli chip fracture If joint is stable which usually will b goes with conservative management with POP

Which x-ray is more recent it is not clear from the pictures which you have posted If the fracture is undisplaced just a plaster is enough If the fracture is displaced and you have ankle stability plaster is enough If the fracture is displaced and your ankle is unstable it made require reduction with a minor surgery as the ligament is attached to that area Let your doctor examine you and take the final call

Looks like the tip of Lateral Malleolus is fractured and avulsed moved from the place It definitely needs fixation as treatment

A plaster should suffice