I fly Delta from Sarasota, FL to Grand Rapids via Detroit frequently.
Never any issues.
They do expect her to remain inside of her carrier at all times but I am able to put her Kwigy Bo on my lap during the flight.
Consider bringing a child's medicine syringe to squirt water into her mouth through the mesh in her carrier. I came up with this trick after our first flight a few years ago~ This has been a life saver for us