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> What are her chances using Animal Handling?
Let's start with the hardest scenarios first. You cannot tame a hostle wild creature in any case, it will always fail. Once downed but not killed, it will become neutral to the one who takes care of it. A download neutral wild animal will become friendly to the one who takes care of it. There is disadvantage in temporarily taming a neutral wild creature and no penalty to temporarily taming a friendly wild creature; however, a wild creature would need training to permanently tame and only when forming a bond with you which would work similar to any other training and there would be a chance during training to turn on you. It will also turn on you if it should ever experience exhaustion until training is complete. It also may flee during combat and not return. If it is constrained during combat it may become enraged and therefore be unable to be trained again until knocked unconscious by any means and nursed back to health. The training progress will not be reset.
Now let's look at the easiest example. A true domesticated animal with no former bond will always pass check if friendly to you. Say if you purchase a domesticated dog or cow, if you use Animal Handling skill they will form an instant and permanent bond without further training. If it is domesticated but neutral to you, the roll would have advantage, and a true domesticated animal hostle to you would be calmed with normal Animal Handling check (wisdom). You would then roll again once it is neutral to you and so on if you wanted to bond with it.
If it has a current, alive, bonded owner, all scenarios become one step harder.
Now let's analyze Rothe in general, they are not true domesticated animals. They are tamed wild animals hence the necessity to raise them from a calf in order to form a bond. This rothe furthermore has a bond. So this is two steps below hanling of a domesticated animal at best. The owner wouldn't necessarily need the animal handling skill to be the bonded owner if rearing one from a calf.
So in general an unbonded rothe would follow the wild animal rules. And one with a bond would follow bonded rules. Its owner would have to pass normal roll to calm it down but the driver failed check.
All that to say, no, you will not be able to calm it down and it will turn on you once it sees you. It is enraged and has line of sight combat, so it will charge or attack the first person or creature it sees and so on until it becomes knocked unconscious or its exhaustion level rises to the point of unconsciousness (level 5) or if it falls asleep. When revived it will be neutral. The owner would then have at least advantage to bring it in line.
Let me remind you that the bonded owner will never be attacked by it so don't worry about him. As long as he gets up and out of its way, he will be fine.