Replace fused switch with single socket

[Gorners]

In my conservatory the previous owners had a panel heater hard wired into 13a fused switch. I have bought a new oil filled heater (2kw) which has a standard plug and I'd like to change the existing fused switch with a single plug socket.

I've attached pictures of the front (black cable goes to panel heater) and wiring at the back. Can I simply replace this safely?

 

[EFLImpudence]

You may.

Why not just hard wire the new heater in the same way?

 

[Gorners]

Thank you.

I'd like the freedom to be able to move it about, use in other rooms if required etc.