Wanderers were very much on top inside the opening half, but that pressure didn’t culminate into any goals for Freedman’s side.
And in the end the game was won by Sam Vokes, who converted a low Scott Arfield cross in the second half.
Speaking in his post-match press conference Freedman said: “I felt that once again we were the better side in a game. We’ve hit the crossbar in the first half and the ball has flashed across the face of goal.
“We’ve got to take our chances when they come our way – we have to be ruthless when we’re on top.
“I felt we probably deserved to be at least one goal up going into half time.
“Overall, we feel like it is one point lost this evening because I didn’t feel we did enough to warrant all three points.
“I think Burnley showed why they are towards the top of the table. I thought they defended very well and put their bodies on the line for the cause.
“Right now we have got to stick together. This is a difficult moment for the club, but we’re all fighting for the same cause.
“I thought our fans were fantastic tonight. They got behind the side throughout the course of the game and they saw a committed performance.
“We had to make a late call with David Wheater, but he came into the side and did really well.
“We can’t hide from where we are right now. Games against the likes of Burnley won’t decide our future. It’s games against the teams in and around us that are going to prove crucial.
“We have to start picking up points, starting with next weekend’s game against Millwall.”