I would use Cognitive Behavioral Therapy (CBT) to help a client resolve anxiety related to public speaking. CBT focuses on identifying and changing unhelpful thinking patterns and behaviors that contribute to emotional distress. For public speaking anxiety, this involves addressing negative automatic thoughts like "I will mess up" or "Everyone will judge me," and avoidance behaviors. The intervention would involve cognitive restructuring, where the client learns to challenge and reframe these negative thoughts into more realistic and balanced ones. We would also use exposure therapy, gradually exposing the client to public speaking situations, starting with less intimidating scenarios and progressing to more challenging ones, to reduce their fear response. This helps the client develop coping skills and build confidence.