Alright, that confirms the fuel relay is receiving power, but sounds like it's not passing power though it on the switch side.
Also side note, your battery is pretty low, if you have a battery charger, charge it back up to keep the battery healthy (normal fully charged is 12.6v and completely dead is 11.4v). If the battery gets too low of voltage, it degrades it's capacity over time.
Since the battery is quite low, it's possible the relay is good but doesn't have enough power from the battery to operate correctly, but it seems like the relay is the likely cause of the issue.
A new relay from Partzilla is $28.17.
https://www.partzilla.com/product/ka...0dd6ee0c509962
There is a way to "bench test" the relay off the bike, but it requires wiring up the power side to test the switch side. Also, appears there's 4 of the same relay on your machine. According to this page relay "B" is for turning on the radiator fan, so if you swap it with the fuel pump relay you should be able to hear the fuel pump kick on and I'd think you could start the machine with it removed. Clearly don't run it for too long with the radiator fan disabled. If you don't recall hearing the radiator fan kicking on recently, it's possible it's relay could be bad too, just something to keep in mind. You could also pull one of the starter control relays, but you likely won't be able to start the machine with them removed.
Below are the instructions for testing the relay if you want to give it a shot. I'd say to use a fully charged battery to test it though.