Let tyrants fear, I have always so behaved myself that,
under God, I have placed my chiefest strength and
safeguard in the loyal hearts and good will of my subjects,
and therefore I am come amongst you, as you see, at this
time, not for my recreation and disport, but being resolved
in the midst and heat of the battle, to live or die among you
all, to lay down for my God, and for my kingdoms, and for
my people, my honour and my blood, even in the dust

If the question is about the purpose of this excerpt, the correct answer is A. persuade the troops that this cause is so worthy that she is willing to sacrifice her own life.

Explanation:

Queen Elizabeth hasn't come to the battlefield so that she could merely inform her troops why they should fight courageously or explain what might happen if they don't fight, or entertain them. On the contrary - her goal is to inspire the fighters with her own example. She emphasizes two main points:

If, however, your question is about her usage of pathos vs. ethos, then the answer is D) She relies on pathos by using emotionally charged words to motivate the troops. Again, she doesn't refer to her previous battle experience or her successes as a queen. She wants to arouse emotions with her audience so that they would fight fiercely and not give up.