How does Juliet respond to two obstacles she faced in Romeo and Juliet?
Juliet does not really take no for an answer. The first obstacle she faces is that she falls in love with a man who is forbidden to her. Romeo is a Montague, which means he is the sworn enemy of the Capulets. Juliet responds by deciding that his name is not that important:
What's in a name? that which we call a rose
By any other name would smell as sweet;
So Romeo would, were he not Romeo call'd,
Retain that dear perfection which he owes
Without that title. Romeo, doff thy name,
And for that name which is no part of thee
Take all myself (Act II, Scene 2).
Romeo is in love with her, too, and does not care what her name is or if her family will hate him. They decide to marry in secret. Juliet loves Romeo, and she thinks that is all that matters.
Juliet’s second big challenge is when Romeo kills Tybalt and is banished.
That villain cousin would have kill'd my husband:
Back, foolish tears, back to your native spring;
Your tributary drops belong to woe,
Which you, mistaking, offer up to joy.
My husband lives, that Tybalt would have slain;
And Tybalt's dead, that would have slain my husband (Act III, Scene 2).
Romeo is exiled, and the situation is even worse because her father decides to marry her off to Paris. Juliet is already married, her husband is banished, and she is supposed to marry someone else.
Again, Juliet does not just accept her situation. She goes to Friar Laurence and asks for help. He agrees to give her a potion to fake her death. Although she is nervous about being alive in a tomb, she agrees.
Things do not end well for Juliet. She wakes to find her husband dead. Romeo did not get the letter telling him what was going on. He found Juliet in her tomb, thought she was dead, and drank poison. Juliet is so devastated to find him deceased that she takes his dagger and kills herself. This again solves her problem, though tragically.