Sounds like she is winning. Honestly rearing is something that if you don't stop immediately when it starts when they are young, you have a horse that will use rearing as an escape...forever.
Now how to stop is very difficult. Every horse is different and with rearing it typically takes some type of extreme measure that which one that will work is hard. Now "you should get a trainer" and "she might be too much for you to handle" are things none of us really want to hear. But I still think it should be thrown out there. Those are merely things to suggest for safety as trainers have the experience and none of us here want you hurt. But you are hear for more advice than that and I'll offer some.
I have a horse that is a rearer. Honestly that horse has almost killed me a few times over the past 8 years. I have gone through everything, but I didn't nip it in the butt early enough and now when ever he is in a pinch he rears. Through a lot of work and working around the issue, he hasn't reared in over 7 months. But its there, if anyone else other than me or my friend (who is a better rider than me and help me through his rearing phase) there is a huge threat for him to rear if they ask a lot from him or push him too hard.
On the ground when a horse rears I make them work and work and work. Lots of small circles at a trot, switch directions frequently and make her move! The same thing goes if she balks. Just make her move, lunge her in a circle every time she won't move forward, then act like nothing happened and try and move on. If that doesn't work keep doing it. This isn't turning in a circle, or walking. Horses don't want to work hard so they learn if they don't do something wrong they get to work hard, if the behave then they don't have to work hard. Thats the nicest way I would suggest on the ground, since it sounds like you don't really want to get after her.
In the saddle its harder sense she is so green. I would suggest though doing the same thing if you can, but if not I would either smack her on the butt and just get her moving. Don't let her not go the way she is refusing to go. If it takes 30 minutes to get past there thats okay. You don't have to rush her into getting past her balking....which a lot of people try to do it fast and hard, which can create more resistance. Just keep end the day with her going past it.