Responsibility sucks sometimes, but better to pass on her so she has a chance at a good home, then get her, and just have her sitting with little attention until you get a free moment. She's pretty cute though.
My first horse was an Arabian Pinto cross, no idea what breed mom was, she was just registered at a pinto. For the Arabian lines my horse had, he was sired by Amerigo, who sired Khemosabi, he didn't look much like an Arabian. Aside from his tail that he did carry out like an Arabian, and his extremely flat head, which spoke of having a bit of Arab in him, just didn't quite get the jibbah, he didn't look like an Arabian cross. Was the laziest horse I've ever met, hated work, and I never could get his tail to grow very long, but he was a really sweet horse.
Fast forward a few years, and I ended up with another Arab x, this time definite Arab and nice Paint cross. He had some conformational issues due to bad feed, but definite dished face, held his tail like an Arab, calm and sweet as could be at 3 years old. Unfortunately we had to put him down, so no idea how he would have turned out under saddle. I did work with his half brother for a little bit, same dad, different dam, very typey Arab, with black and white coloring, also very sweet, but quite spirited. He actually had pretty good conformation and movement being that the breeder was a total back yard breeder who wasn't breeding for conformation.
Hopefully someday you get your chance to have an Arab QH or Paint cross. They are fun horses to have. My first horse, for being a small 15.2ish, and 15 years old when I bought him, and total western horse previously, he could jump! In spite of his laziness, I was able to get almost to 3' with him, unfortunately age caught up with him 3 years after I got him, and jumping was becoming painful, so I sold him on to a nice trail home with a little girl, and got a new horse. If only I'd had the money to keep him too, I totally would have.