Answer:
A. Receiving many speaking invitations doesn't sound appealing to her. (Correct)
Step-by-step explanation:
A. Receiving many speaking invitations doesn't sound appealing to her. (Correct)
B. Receiving many speaking invitations DON'T sound appealing to her. (s/b does in this sentence).
C. Receiving many job offers GET her excited for summer. (s/b gets in this sentence).
D. Receiving many job offers GOTTEN her excited for summer. (s/b got in this sentence).