Compatibility summary
You will need a travel adapter in Tuvalu; plug types used there differ from United Kingdom.
Plug comparison
United Kingdom plug types: G
Tuvalu plug types: I
There is no common plug type between United Kingdom (G) and Tuvalu (I). You need a travel adapter.
Voltage comparison
United Kingdom: 230V, 50Hz
Tuvalu: 230V, 50Hz
Voltage difference is within a range many devices tolerate; check your appliance label.