As per the Gets Hot special rule in the rulebook any blast weapons with the ability to reroll to hits also get to reroll failed Gets Hot. And as Preferred enemy confers a reroll on a 1 and a failed Gets hot is a roll of a 1 I'd say you get to reroll.
This is not correct. Preferred enemy confers a re-roll on a TO HIT roll of 1. This is separate from the "Gets Hot!" roll. Blast weapons with preferred enemy can never gain the ability to re-roll hits from preferred enemy.
Since you can never roll a 1 to hit, you are never granted a re-roll to hit. Without this re-roll to hit you cannot re-roll the "Get's Hot!" die.