I'm not sure if it was because the wind was tossing him around at the end of that long limb or if he decided it was worth putting me to the test, but he eventually began to approach me cautiously. When he finally came close enough to sniff my out-stretched hand, I began to feel like we were finally making some progress. When he came a little closer and let me touch his head and give him some pets, I began to feel very hopeful. Then he dashed my hopes when he continued to come closer to me, not because he fully trusted me now, but because he wanted to get past me to the other side of the tree. He jumped to another limb on the opposite side of the tree from me, and then jumped to another one to my other side and walked away. From there, he jumped down to a nearby lower limb and walked on it for a while. He jumped back and forth between those two limbs a few times before heading back the way he came. He returned to his original limb, crossed in front of me and walked all the way back out to the end of the limb again.
Beerus was very happy to be back on the ground and at home again, but, while he spent the entire afternoon napping with his feline sibling who had missed him, I still had two more rescues to do.