If the TV has a 5V 1A USB port that will be more than enough to power a USB drive
I have a 4TB USB WD Elements USB drive and on my USB Tester it draws 5V 420mA
My 2TB USB WD Elements USB draws even less at 5V 220mA … but increases under load to 420mA
Personally, i would try the USB connected directly to the TV
If the Hard Drive starts “beeping” then the TV port is not providing enough power as it claims.
Which leaves you the only option to use a AC Powered USB HUB connected to the TV and then plug your USB drive into the HUB.
Then it should work.