Put on gloves and long sleeved shirt and go for it.
Calm yourself down, if you're nervous she will feel it and be more nervous herself.
Be calm, confident, and decisive...move semi-slowly and talk softly to her.
The first time will be the worst, but she will gradually get used to you 'handling' her.
I now take eggs all the time from under my birds, I want them to know they 'won't die' if handled, most of them acclimate pretty quickly.
I learned this when a previously 'unhandled' hen went broody, my first that I let hatch.
I touched her almost every day, lifted her up to see the eggs and/or stroked her neck and face, she did NOT like it at first, but I persisted and she accepted...good thing I did too, as one of her chick got it's neck tightly tangled in her breast feathers that probably would have died if I hadn't cut it loose while she calmly sat there.
You can do it!