Anastacia and her professional partner Brendan Cole and Kiss FM DJ Melvin Odoom and Janette Manrara were in the bottom two of the first results show this year.
Once the judges' marks from Weeks 1 and 2 were combined with the viewer vote, the couples found themselves facing the dance off.
However an injured Anastacia couldn't perform.
Therefore the result went back to the public poll and with the fewest votes, it was Melvin who went home.
A spokesperson for the BBC said at the time: "There was no Dance Off tonight due to a confirmed injury. As per the Strictly Come Dancing rules if the Dance Off cannot go ahead then the result reverts to the viewer vote."
But not everyone liked the rules including the always outspoken former Strictly pros James and Ola Jordan.
James hit out on Twitter: “SO!!! Whoever ends up in the dance off COULD fake an injury and go through to the next week on public vote without dancing BULL****!!!”
And Ola added: “B*******! If you can't dance, you should be eliminated!”
Many fans also felt the same with one writing on Twitter: "Outrageous result, if Anastacia wasn't fit to dance then she should have left #notfair #fixed #scd #Strictly #poormelvin"
Six people were so unhappy they made official complaints to TV regulator Ofcom who today announced it was dismissing the objections.
"We assessed six complaints claiming it was unfair that Anastacia's injury stopped the dance-off and that, as a result, Melvin Odoom was voted off the show," a spokesperson told Digital Spy. "However, we don't regard this as a regulatory matter: the bottom two acts were determined by the voting audience."
Ofcom also dismissed a complaint over Bruno Tonioli shouting the word 'bollocks' during a show, which saw host Tess Daly issue an on air apology for.
Strictly is back this Saturday and Sunday night on BBC One.