I prefer a little more of a heel but that will take time and most good farriers won't take anything off the heel.
On the contrary, I'd say it's most BAD farriers who don't take anything off the heels. As RiosDad said, high heels are not at all healthy for the horse. Of course, don't just take our word for it, but learn about hoof form & function and make an *informed* decision about it.
Whether or not you choose to shoe or not, whether or not your horse's feet are problematic or not, I believe it's imperative for people to have an understanding of the principles & factors that govern hoof health. Not least because so many - including professional farriers & the likes are unfortunately rather ignorant of many details. If you're in ignorance of the principles yourself, how do you know whether your 'expert' of choice is good, bad or indifferent? To that end, hoofrehab.com & barehoofcare.com are 2 great sites to begin with.
Regarding riccil's pics, apart from them being overdue, it looks like your horse has quite reasonable feet. Lateral balance may not be perfect, but it's difficult to tell from these angles. Likewise it's hard to tell how flat or otherwise the soles are from that angle, but if they are as flat as they seem, that's what I'd be most concerned about - they are probably very thin & I would definitely be protecting & supporting them when on rough, hard ground, with boots, Vettec Sole Guard, pads or some such. Ensuring the soles & digital cushions are able to be in a supporting role while remaining protected & comfortable until they become strong & thick should help her develop great feet. I wouldn't personally advise putting shoes on this horse until it has been rehabilitated, assuming the problems are as they seem to me. But keeping the above principles of protecting & supporting the sole is even more important with shoes IMO.
There are rings about half way down that suggest a reasonable metabolic upset. Below this point there are more minor signs, but above it - since whatever happened at least a few months ago appear quite healthy & likely free from lamellar damage. It appears that the walls may have been trimmed flat to the ground, and this along with them becoming too long is what has caused them to get messy & break away in chunks. Get your farrier to do a 'mustang roll' on her walls, bevelling the outer walls away from the ground to remove the unhealthy leverage forces. Above all, ensure he doesn't touch that sole, because she needs as much as she can grow of it.