No, Abou was not disheartened at all in the angel’s reply that his name was not written in the list. Rather he was confident enough that he also deserved a place in the list for his love of man. That is why he made a polite request to the angel to write his name as the one who loves his fellow men.
 
The words “cheerly still” indicates that Abou was not disappointed.

Abou spoke more low
But cheerly still;