MK Dons manager Karl Robinson admitted his team were fortunate to pick up a point after the 2-2 draw at lowly Shrewsbury.
Bowditch set up Angelo Balanta for the Dons' opener on the stroke of half-time and then rescued the high-fliers with a dramatic late leveller when he smashed a controlled volley from the edge of the penalty area past goalkeeper Chris Weale.
Robinson admitted it was a tough ending for Shrewsbury, who had impressively turned the tables in the second half to forge a 2-1 lead through goals from Luke Rodgers, on loan from Portsmouth, and MK old boy Mark Wright.
"I'm relieved as they deserved all three points," said Robinson. "I didn't think we deserved anything out of the game, but sometimes that's what you need, to turn results around and grab things out of the jaws of defeat.
"We had been steam-rolled for 60 minutes of that game, but it's a point rather than nothing and we've moved up a place to third with that point.
"This is a difficult league, a remarkable league and a league that people should be coming out to watch."