The punishment relates to his drunken night out while on England duty during the World Cup.
A Rugby Football Union spokesman said on Friday that the verdict will be "early next week" following a hearing at a secret location on Thursday.
As well as being fined for his night out in Queenstown, the 33-year-old was also dropped from the England squad following an RFU investigation, conducted by elite rugby director Rob Andrew and legal officer Karena Vleck.
Tindall was among the group of players who went out for drinks after being given the night off and he was captured on CCTV footage from the Altitude Bar in conversation with a woman.
The Gloucester centre, who is married to the Queen's granddaughter Zara Phillips, later issued an apology for misleading the England management over his movements that night, having initially claimed he did not go on to another bar.
The Rugby Players' Association described Tindall's fine, which was handed down by the RFU, as "extraordinary" and "unprecedented".
Tindall's appeal was heard by the RFU's acting chief executive Martyn Thomas.
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