As I've said, I think educating ourselves as owners on important topics such as this is SO important. I'd get yourself educated & make whatever decisions you feel are best for your HORSE, not the other 'people around here', because you'll find that 'people' are inclined to judge regardless what you do, regardless whether they have any good reason to or not. Dare to be different, if it's in the best interest of your horse. If you only go blindly on other's opinions, among other probs, you'll find this leads to huge confusion anyway, because there are a lot of conflicting opinions floating around!
In addition to the links in my signature, barehoofcare.com & ironfreehoof.com are 2 more excellent sources to get you started.
Now for more of my opinions...
Firstly a couple more questions... diet, nutrition & management(living, environment, exercise, work, footing, etc) are very important factors for healthy hooves, so can you tell us more about those things?
With regard to your question of hoof supplements, yes, a good quality, complete(because hooves aren't out there alone) nutritional supp is generally a good idea, because horse's diets are generally lacking in a number of nutrients. FeedXL.com is a fantastic service/program for diet/nutritional info & advice. Safergrass.org is also a good site for some general info on diet as it relates to hoof health.
Yes, her feet are quite imbalanced laterally, quite high heeled, fronts are quite unhealthy. Backs appear more laterally imbalanced than in original pics, BUT I can't judge the farrier's work, because it appears she's been in those shoes for more than a few weeks, so don't know how much overgrowth, don't know just how bad her feet were when he last visited, don't know how unevenly she may or may not travel(she may need bodywork too).... etc.
I would however, whether you decide to keep him or otherwise, get her trimmed more frequently - especially in the state she's in, if you want them to get better, they are overdue & need to be worked on regularly to *keep* them in better shape, rather than being allowed to get further out of shape before being 'corrected'. That is one reason to do away with shoes, in the meantime at least, as you don't want to have to do shoe resets every 2-3 weeks, and her feet will also grow better, quicker, less deformed without. I definitely disagree with "It will go better if you keep her with shoes, but it'll take more time.", especially if you're intending to ride/work her on hard ground.
What's the go with that ridgy looking line around the coronet at the toes? Is it just wet periople, camera trick, or is it cracking/abscessing??
About the biggest single problem I see with conventional shoes is peripheral loading - they force the walls to take the entire load of the animal and provide no support for the base of the hoof. Effectively hanging the horse from the lamellar tissue that attaches walls to P3. This is not great for a healthy foot, especially on hard, flat surfaces, but when the lamellar connections have already broken down and the hooves are already weak/detached, it exacerbates & speeds the damage. Therefore, if you choose to keep her shod, I would definitely avoid roads & other hard surfaces, and don't to anything above a walk on them. This problem can be alleviated to some degree if you have her shod with dome pads or such though.
With regard to 'can you ever shoe again', well yes, once the hooves are healthy, I'm not sure(tho not sure it's not either) that shoeing is *necessarily* detrimental, if riding on yielding ground, but generally there is no good reason to and if your horse requires protection/support for some surfaces, there are many great boots on the market these days, which are generally a much better option.
...which brings me to another of your questions; "So will there be a risk of her going lame or should she be ok?" Yes, there is definitely a big risk, IME, that she will go lame if kept shod, especially if ridden on hard ground. If she is kept bare and well trimmed and other factors(such as diet, management) taken care of, she should be sound and also start to develop strong, healthy feet. People often just blunder into 'barefoot' like they blunder into shoes - they have little if any knowledge on the subject & just expect to pull the shoes & continue on their happy way... so disclaim it as 'didn't work' if their horse is 'ouchy'. There's more to it than that, to keep a horse healthy, be it having shoes or not.
Horses can't feel their feet very well when shod, so will tend to just blunder along on anything, whereas bare(even strong & healthy feet) can feel what they're walking on(even feel what they're about to walk on!), so adjust their stride accordingly, to prevent
damage. Therefore, walking on sharp rocks, they tend to '***** foot'.... just as you or I would if bare, even though not 'lame'.
BUT they can also '*****foot' because of tender feet of course, or otherwise wear away too much hoof when bare, and comfort is also very important to the way a horse moves/lands & the way a horse uses their feet is very important to good hoof function and therefore development, healing, circulation, etc. Therefore it is always a good idea to protect/support their feet with boots or such where/when necessary, to allow comfortable movement. Also, even bare hooves can cop too much peripheral loading on hard, flat surfaces, so if you do a lot of road work, even if booted, pads can be a good idea too.