Hassan Is Cold (As the student I tutor put it)

The last two stanzas of The Giaour are really interesting to me.  Byron brings the poem to a close with the Giaour wrapping up his confession.  As a reader, I felt that justice was served when the Giaour killed Hassan, but he thinks otherwise because he feels the need to confess.  This requires the reader to dig deeper into why the Giaour felt he was wrong for slaying Hassan.  It leaves an uneasy feeling once the poem is finished.  When he says "And thank thee for the generous tear/This glazing eye could never shed" it does not seem as if the Giaour is sorry for what he did.  He thanks the man for listening to him, but it recognizes that he could never shed a tear for Hassan's death.  It is quite possible that his confession was not sincere.  This doesn't necessarily bother me because Hassan deserved to die for being a chauvinist jerk.