The Y Class capacitor might or might not affect the hum level, you can determine that by experiment.
The maximum current that can flow via a 0.01uF capacitor that isn't faulty that's connected between 110 volts Live and Earth is approx. 350uA (350 microamps)….I = V/Xc…..Xc can be determined here:
https://www.electronics2000.co.uk/ca...calculator.php
Lawrence.