Read these lines from the excerpt again: He knew that a yearning glance fell upon him, now and then, through a film of tears, bu
t he refused recognition of it. He pictured himself lying sick unto death and his aunt bending over him beseeching one little forgiving word, but he would turn his face to the wall, and die with that word unsaid. These lines from the excerpt explicitly or directly state that Tom is ignoring his aunt's remorse on purpose
trying to avoid making his aunt angry
thinking about when his aunt dies
feeling ill because he made his aunt upset
Based on the excerpt is that tom is clearly ignoring his aunt's remorse on purpose. It is stated that he knows that a "yearning glance" was upon him but he refused to recognize it that is to acknowledge it. He even goes so far to imagine denying his aunt what she wants to hear even on his deathbed.
