I've been reading these messages throughout the week and I'd like to thank you all for your input!
I thought I'd address a couple of points.
First, the "look in opposite direction" thing. I've tried that and with this horse it doesn't work. With my horse's timid sister it did work, but when I do it with my mare, we just end up facing away from each other for minutes on end.
Second, asking for both eyes by making her run... Yeah, this is something I don't want to do. This horse will run if made to. After a while she will go over the edge and totally shut down and stop listening. Once she wouldn't let people catch her for 2½ hours (even after all the other horses had gone in) and another time she broke the round pen. I don't have a safe place where she can get out of control and run it out.
If I stand in front of her, she usually keeps her head straight, at least most of the time. If I circle her (go behind her), she looks the other way in a kind of a over the shoulder fashion with her ear turned to me. When I go past her tail, she will turn her head in the other direction.
Also, when I got her, she had real trouble with walking behind me as well as being sent away past certain distance (about 3 meters at first). She got visibly nervous. Confidence or fearing the concentrated pressure/energy?
I've been doing more of "backing off" (ie. releasing pressure by turning away) lately but don't see a real improvement. Maybe it takes time, maybe my timing sucks.
It's also weird(?) that when using a cordeo with a lead line attached to it, she keeps her head straighter and even looks at me some times. Cordeo is a new thing for her and tried it because she has (had) bridle/halter issues. A sign of confidence issues?
The lucky thing is that you have a 50/50 chance of getting it right ;)
This and the idea of horses forgiving are the only two things making me want to keep on trying... And the hope that when I hit success I can replicate it.