The answer depends a little on what level of hunters you're hoping she can do. Also, I can speak to USEF/USHJA hunters, but I know that the standards at breed shows often differ from USEF/USHJA standards so I can't really speak to her suitability for Morgan breed show hunters.
I can't see your photos, just the video. From that I can see she's very cute and looks sweet. She also looks to be very typically Morgan, which is not the ideal type for a hunter. She has more knee action and a higher carriage than is looked for in the hunter ring. Because of that, she wouldn't be the type I would look at for a high level hunter prospect. However, how she jumps has a huge impact. If she has a fabulous, round, knees-to-her-eyeballs jump, she may still do well over fences at smaller shows, even with her less-than-ideal movement. She won't be the hack winner, but depending on the quality of her jump, she may be able to find a place in the hunter ring. A really important part of evaluating a hunter is seeing their canter and jump, so if you had any video of that, that would be valuable. :)