On Monday, Tim made up one part of a three-man Great Britain team that finished seventh in the Team Jumping Final.
It is thought that Great Britain may have finished higher were they not hindered by the loss of fourth team member John Whitaker due to a decision by the Appeal Committe.
They ruled that his horse had had a sore back in an earlier round and was judged to be un-ridable, following complaints from other teams. Their decision prevented Whitaker from competing on Monday.
Following the decision, Stockdale accused some of Britain's rivals of unsporting behaviour, saying: "It is not in the concept of the Olympics."
"In respect of what John has done for show jumping it is disappointing. Some people should hang their heads in shame."
"Medals are at stake, I suppose, and John is good and so people fear him. Perhaps some people saw it as an opportunity to get John out of the competition."
Despite the controversy, the large, technical course – designed especially for the competition – was difficult and posed many challenges to the riders.
But despite this Tim, riding John Bosher's Corlato, was able to negotiate the course and finished the equestrian event with eight penalties after somewhat unluckily knocking down two fences.
Teammate Ben Maher was satisfied with all of the Great Britain team's performance and said that they had all done as much as could have been expected.
"We all did our best but we were fighting against it from the start with the loss of our fourth man and also the course," he said. "I don't think any of us can be unhappy with how we performed."
And Tim's performance placed him joint 18th out of all the riders, which was enough to put him through to the first round of the individual final, held yesterday evening (Thursday).
The first round comprised of the top 35 riders from Monday's event, with the top 20 from the first round going through to the overall Individual Final.
Ben Maher commented on Great Britain's hopes within the individual competition.
"We seem to be jumping better and better each day and I think if we all ride well then we should be in the top end of the table of the Individual Final," he said.
From the team event, the gold medal went to the USA, a silver for Canada with Norway getting the bronze. Great Britain finished seventh out of nine.
To see how Tim performed in the Individual Final, look out for next week's Guardian.