Axelle's heart softened into a puddle, but he quickly hardened his heart so that he would not interact too much with Blaze.
He would leave this world for a long, long time, so it was better for Blaze, who was essentially still young, to forget about him soon.
Blaze tried to act cute but failed. Seeing this, Ainsley knew that no matter what she said, Axelle would not change his mind.
He was already determined to leave them because he also had his own grand mission.
Ainsley had freed Axelle from his status as a slave, so the elf could go anywhere he wanted. He was already a free person, so Ainsley didn't even have the right to stop Axelle from doing what he wanted to do.
Still, the thought that Axelle would leave her and her family members for eternity and they might not be able to see each other again despite both of them being alive definitely crushed Ainsley's heart.