It does look like a she...they are bigger in the underside and shaped slightly different. if you could download the sounds of another Falcon or a larger bird of prey such as a hawk or an eagle...play it loudly outside and keep moving the player around the property, she will move on and look for a new place to raise her babies.
The bad thing about her is her speed...Falcons are so fast that by the time you saw her dive she would have a chicken. The dog is pretty safe unless it is one of those Paris Hilton size chichi's.
They are actually worse than Hawks because while the hawk is a "rarely misses the kill" bird, they are bigger, slower and the chickens have time to find a hiding place is stuff is available for them to get under and in...the Falcon will miss the kill strike and have to hit its prey several times but it is so fast the prey does not have time to run and hide.
I worked with Birds of Prey being rehabbed...I am considering going to get my rehabber's license or a falconer's license. I love the birds of prey...Redtails and Peregrines being my favorites.
Duppydo...I have HUGE crows around here and welcome them also...they keep the redtails at bay for sure.