Have you checked to see if the azalea just needs more water? I have had to start increasing the amount of water this month on my azaleas, hydrangeas and camellias. The roots are in the top 4", an area that gets dried up quickly when it is hot and-or windy. To rule this out, take a picture of the plant, test the soil by inserting a finger into the soil to a depth of 4" and water of the soil feels dry or almost dry. After a week or so, compare the current status of the plant against the picture to see if it stopped browning the leaves or if it continues browning. Remember that Central Florida has sandy soils so you normally need to water much more than usual. About 2-4" of organic mulch helps maintain soil moisture when windy.
If you let the root ball dry out a lot, it may start repelling water even if the root ball area is dry. In that case, to rewet the root ball, you need to extract the plant and dunk it in a pail of water until it stops producing air bubbles. You can also very slowly drip water right on top of the root ball for an hour or so.
PS - My late aunt in Ocala used to water them 1 gallon in Spring but she increased it to 1.5 to 2 in May.