Home button doesn't working, BUT TOUCH ID WORKS,

Although button is just one, touch ID function and click related functions rely on different data lines and components. It might be something went bad along with the update but it’s probably just a coincidence. To not let anything untried before buying a replacement part you might first try resetting the iphone hardware by pressing home and power button together until it restarts..you can try a factory restore too as a second step after backing up your data. If those don’t work try reseating home button connectors..don’t forget to disconnect battery before touching anything else.