You will have to check your owners manual for fuses
or just test them all. ( No manual - look at one online)
Doesn't have to have a blown fuse for the Compressor
to not come on.
Need a wiring diagram & study the A/C System & then
test it's various components,at least the power & grounds
Why would you be jumping a compressor, without first checking
all fuses that apply & then leak test the system & check refrigerant
What about swapping the A/C Relay with a similar one.
Whatever way you diagnose the issue,you still have to have
a repair solution, as there is no way a fuse fixes anything.