Suzanne Dodd was walking with her two dogs last Saturday afternoon when the raptor swooped in, but she managed to fight off the bird of prey.
The eagle had a strap on it and "did not appear afraid of people", 43-year-old Dodd told news reporters.
The raptor landed on one of Dodd's Jack Russell Terriers and started to pull the small dog by the head.
After the attack, Dodd put leashes on her dogs and tried to quickly get out of the area.
The eagle caught up to her as she was going downhill and swooped in about 20 times until she managed to chase it away.
Dodd reported the incident to the National Police since it occurred on a hiking trail and she wanted to make sure that other people were aware of the danger.
Photos: Salman Khan returns from Jodhpur to Mumbai
Pics: Sidharth Shukla-Rashami Desai's sizzling chemistry at TV show launch
Ooh La Lana! WWE Diva flaunts sexy curves in these 30 pictures
15 'peach' perfect photos of Priyanka Chopra at People's Choice Awards 2017
62 going on 16: These photos of Rekha prove she is 'forever young'