I have been wearing hearing aids a long time due to loss at higher frequencies (and mild tinnitus). Listening to TV was always a problem with them because some speech involves sounds with high freq. like consonants and I'd often miss words.
Couple of years ago I got some new fancy digital Phonak ones (not cheap!). What a difference! They take high frequencies and "downshifts" them into a somewhat lower freq. range that you can hear better. Not a perfect solution but much better than the old ones (around 10+ years old). Costco had the best prices we could find.
Hearing aids have improved a lot in just the past few years. The various manufacturers have apps for dealing with tinnitus that may or may not help. You need to see an audiologist for an up to date assessment. I have a bluetooth adapter for the TV but have never used it.