Have you tried doing it when she's a bit tired & dopey & less likely to be as aware? You could get on the floor with her & start by stroking her, getting her to roll over on her back & tickle her tumy etc, then have a bit of a 'snip' - rather than hold her in a position she wouldn't normally be held in, which is probably what's making her freak out a bit. I'm not saying you should 'trick' her & avoid trying to get her used to it properly, but it might be a place to start, then work up? You might have to just do one or 2 snips a night!!
That's how we started Max off from when he was 10+ weeks old - we literally did something to him almost every day - even if it was just a single brush stroke - just so he could see it was an everyday thing - we used to let him play with the brush a bit too. We started when he was a bit less likely to be hyper about it - at night, when he was dopey & tired, then gradually started doing it at all times of the day & evening - sometimes after a walk, sometimes in his play/training sessions, last thing in the evening, before his tea, etc etc - he wasn't overly keen to start with & just wanted to grab the brush & bite it, but it didn't take long for him to just accept it. Even though Daisy is a bit older now, it should still be fairly easy to get her used to it - might take a while though, but she'll get there!
I think we've been pretty lucky with Max cos he's a real 'sook' & loves to be fussed & groomed - he's a real little attention seeker!! We can do almost anything to him now - he occasionally puts up with it under sufferance if he's wanting to be off doing something else but he usually just stands/lies there & looks at us, bemused, then often falls asleep!! I was grooming his tail area the other day while he'd dozed off on the table & he actually f@rted in my face - now that's a bit TOO relaxed for my liking!!!!!!!