I was also told on a self defense course (long time ago now!) that you need to give yourself permission and psych yourself up in advance that, in this sort of situation, it is OK to hurt somebody. Because we are conditioned to be nice, and that it's bad to hurt somebody else. If you're a nice person (which I am sure that you and your dd are!) then it doesn't come naturally or obviously to actually hurt someone iykwim.
So, if you're discussing this with her, then she needs to realise that if she is ever in this situation, that if she is trying to fight her way away from this man, then she will really have to hurt him - and that is OK and a good thing to do to him.
Also, he is likely to be much stronger than her so not to try to do things that need strength. If he has got his hands around her, don't try to wrench the whole hand off but go for the little finger on one hand - and bend it back as far and fast as she can, with the aim of breaking it. At which point he should let go or at least loosen as it's a pain he won't be expecting. Likewise - fingers gouging in eyes, biting his tongue if he tries to kiss her (yukky I know but again effective apparently), smashing his nose, even fingers up his nose to scratch / damage / make breathing more difficult, fingers in ears to try to hurt his ear drum, pulling his ears really hard, serious hair pulling... One of the lines we were given to remember was 'grab, twist and pull' which applies to most of the things above, and obviously to his private parts, should he decide to make them non-private.
We were also told that it's very difficult to hit and hurt somebody else in these situations but if you are close and it's come to that, if you put all your fingers and thumb together (sort of as if you were going to do a duck shadow puppet, using that as a starting point but just have the fingers and thumb all together and braced rigid together), then use it with a stabber motion - groin, solar plexus, kidneys from the back, eyes/ear/nose etc again to give maximum pain to somebody despite not being very strong.
Also, if someone has you in a strangehold or choke hold with their arm around your neck, they can hurt you most effectively if they have got their arm across the front of your neck. So, try to turn your head so the front of your neck is in either in the crook of their elbow (and get your chin down so he is pushing on your chin rather than your neck) or the back of your neck if you can't turn that way around. Won't work forever, especially if someone is strong but might get you an extra few moments to do more harm. If you just put your own hand up to your neck and gently push it on the side of your neck and then the front of your neck, it's almost immediately obvious that it feels quite odd to have even the slightest little bit of pressure on the front of your neck, which is why this is something that's good to try beforehand as it will hopefully stick in her memory and if the worst were to happen, it wouldn't be such a shock and she has a better chance of figuring what to do.
And finally - to figure out in advance where the achilles tendons are on a person and if she has got good strong soled shoes on, show her how to stamp down and across on them to try to take them out to stop him running after her (or at least slowing him down).
fingers crossed they catch him soon and he doesn't attack anyone else before they do!