Don't be fooled. This one killed a full size EE hen three weeks ago with the roo right there. It attacked our bantam also but she hunkered down in the briar and the hawk was scared off before she was finished off. She escaped with a huge gash on her back. They are all in lock down until the foliage comes in and breeding season is over....they are not happy but it beats the alternative.
I will bet money the red-shouldered did not attack your full sized EE. More likely species was red-tailed which is slightly larger. I have worked around hawks all my life and some simply do not target poultry even though they are larger and sympatric with species that do.
Featherz, your hawk will target chickens. It is an accipiter hawk of some sort, Coopers or goshawk I can not tell, and it will go after chickens. If former, then my games roosters can and do repell it; if goshawk, then I pen birds up or make certain dog is out there with flock.