Since Paul Harvey is no longer with us, I guess I'll have to add "the rest of the story".
At that last Republican governors' conference in 2009 Palin was the featured guest and attendees and media had been promised an extended question and answer session (~15 minutes) with Palin. However, after only about 4 minutes Rick Perry stepped in and shut down the session. It was rudely done and video of the scene shows Palin was obviously annoyed, as were the waiting questioners.
When you connect the dots it's evident that Perry has mostly used Palin for his own benefit, while his reciprocation has been almost non-existent.
"He walks the walk of a true conservative," Palin writes. "And he sticks by his guns -- and you know how I feel about guns."
This is from a The Hill article last month:
In fact, during the midst of her recent bus tour, Palin brought Perry’s name up again, unprompted, telling a group of reporters in Baltimore, “I think he would be a fine candidate. We have a lot in common.”
She added: “I really like him.”
http://thehill.com/blogs/ballot-box/christian-heinze/169731-palin-and-perry-friendship-with-a-2012-twist
I have yet to find this dislike between the two Gov's that you claim.