The phrase "great honour" means a feeling of deep respect, pride, and privilege for being recognized or given an important opportunity. Full definition
Arsene should still step down now with great honour because right now he is not so subtly being shown the door and being forced out is not the way this great manager should go. (justarsenal.com)
I've seen a lot of people write about how «all we need is a CDM and Striker» and if those players were «World Class» that all our problems would be solved, perhaps not to that extent but there is an insinuation by most that we would all of a sudden be capable of challenging for greater honours other than the FA cup, talks of title ambitions and European glory seem to be synonymous amongst these individuals. (justarsenal.com)
For Bastón, however, there could be no greater honour than pulling on the red and white stripes of Atlético Madrid to make his second appearance for his boyhood club six years after his first. (squawka.com)