The former Hull City player rejoined the Boro ahead of the 2019/2020 BetVictor season, but will return to Tadcaster Albion after failing to cement a place in John Deacey's side.
It is the second time Annan has made the move from Scarborough to Tadcaster, after signing with the side in March 2019.
Albion feature in the BetVictor Northern Premier League North West Division.
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