Answer:
C. Obedient.
Step-by-step explanation:
Let me translate this passage into modern English:
"I will try to like him, if trying can make me like him:
But I won't compromise my honor or become attached [get in too deeply]
Unless you [my parents] give me permission to like and/or marry him.]
Overall, this means that Juliet intends to do what her family wishes, even if it means trying to like Paris for the sake of a marriage.