ABOMINATE:

ABOMINATE -> To detest extremely; to loathe; to hate intensely or with strong disgust.

Option meanings:

gratify -> To please or satisfy

esteem -> To respect and admire

console -> To comfort someone in their time of grief, disappointment, or distress.

support -> To uphold, sustain, or provide assistance to

The closest opposite to "abominate" would be esteem. While "gratify" relates to pleasure rather than approval, "console" is about comforting, and "support" is about assistance, "esteem" specifically involves holding something in high regard and respect - the direct opposite of the intense hatred and loathing implied by "abominate."