I just saw your post and wanted to share my story. My DS actually does have oral aversion problems which resulted in growth problems, though I don't believe that late introduction of solids was the cause of the problem. Most babies who refuse solids are just fine, and mainly I like to share our story so that people can contrast with their own situation and maybe feel more comfortable things are ok if there aren't the other red flags there were with my DS. Anyway, we first started offering solids arounds seven months and DS was not interested at all. For awhile I was not concerned figuring he would eat when he was ready. He was healthy and growing fine until 12 months. Then he stopped gaining weight completely and eventually stopped growing taller as well. Between 12 and 21 months he did not gain any weight at all. He started wanting to nurse more and more frequently day and night. It seems that for some unknown reason, my milk suppply had decreased and was no longer sufficient. It was a very gradual decrease so I didn't really realize it until looking back later. Despite really needing more calories, my DS continued to refuse any solids--never took a single bite of ANYTHING. If I put food in his mouth he would not attempt to chew, move it around in his mouth, swallow, or spit it out. He would simply sit with his mouth hanging open and cry until someone removed the food or it ran out of his mouth. As a baby, he never put toys or other objects in his mouth as most babies do. At 21 months I finally decided we had to do something and took him to a feeding clinic. The nutritionist there recommended I try to increase my supply while we worked on the solids and I started drinking more fluids and taking fenugreek. When my supply increased, DS was suddenly having many more wet diapers. The decline in his output had been very gradual, and before this time I assumed it was just due to his getting older. Later I realized that was not the case. The nutritionist also said that they see babies who refuse solids but continue to grow normally on only breast milk. In my case, however, my supply had dropped. With intervention, DS started eating. With that and the increase in my supply he immediately starting gaining weight again after 9 months of staying the same size. We are still working on new textures and chewing, and he's still nursing.
Like I said earlier, if this doesn't sound anything like your daughter, then she's probably just fine. Most babies are. I hope this information is helpful!