Drogba missed a number of chances to put Chelsea in total command on Sunday - including one from six yards - before putting the Blues in front with a 71st-minute header.
But the Ivorian's failure to kill off Everton at Stamford Bridge came back to haunt Avram Grant's side two minutes from time when Tim Cahill levelled with an overhead kick.
Drogba said: "It was nice for me to score but not nice for me to miss the chances I had.
"The first one in the first half was difficult because of the bounce but I had a big chance to score.
"I was so sorry for my team. We can't be happy with the point - but we didn't lose. We still have a chance to win the next game, so it's okay. A point is a point.
"I am very disappointed and I think we created a lot of chances, I think enough to win the game."
Drogba was philosophical about the ultimate outcome - a 1-1 draw.
"Sometimes it happens," he shrugged.
"They had one clear chance and scored. I think they deserved a draw, because they defended very well.
"We created enough chances to win the game - sometimes you need only one chance to win, and every chance you create you score. This was the opposite, and that's football."