Why is Odysseus not a hero?

Why is Odysseus not a hero?

Odysseus is an epic character of one of the famous literary works of Homer, The Odyssey. Being a legendary king of Ithaca, Odysseus was deemed to be the hero of the script primarily because he has the brains and the body for conquest and victory. He was the one who spearheaded the attack to the city of Troy through his Trojan Horse trick. Odysseus is a Greek name which literally means the one who is hated. And true to his name, Odysseus was hated mostly by the Romans, because of his natural wit, prowess and resourcefulness. His patience, reason and gift to evaluate has lead him to victories and saved him in his many endeavors.
However, many critics are not fully amazed and impressed of the attributes that Odysseus possess. For some, Odysseus may be a hero and must be praised for all he has done but for others, Odysseus should not be given a title of a hero. It is undeniable that Odysseus is full of wits, courage and strength. However, Odysseus exudes unpleasant character as well. As his life was tracked, he was found to be highly arrogant, deceitful, sensual and vengeful. He is indeed arrogant of what he has achieved even if the Gods sent out forms of punishment to control his arrogance. The punishments even made him more proud of his possessions. Another unheroic attitude of Odysseus is his sensuality and deceitfulness. He was known to be lying to wife to enjoy the company of other women. Vengeful as he is, he prefers to see his enemies suffering to death. He unfairingly fights to win and punishes anything that is unpleasant to his eyes.
Odysseus may be a hero but his negative attributes makes him unlikely to be called one.