Fiber optic

Location
NE (9.06 miles @5.9 Degrees from Winged Horses)
Occupation
EC - retired
Low voltage for sure.

I have a hearing aid device that transmits blue tooth to them from my tv. The connection is fiber. I would like to do another on my tv downstairs but it already uses that fiber out for the sound system. Will a fiber splitter work without dropping too much signal?
 
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