Use context clues: From the answers listed obey would best define the word, acquiesce. Hope this helps you out, although it was a little late.
Explanation:
Supremacy of Youth and Beauty
The first principle of aestheticism, the philosophy of art by which Oscar Wilde lived, is that art serves no other purpose than to offer beauty. Throughout The Picture of Dorian Gray, beauty reigns.
Kelvin decided I believe because in the text it says that