Taylor, the director of a play, notices during rehearsal that the actor's angry expression may not be visible to those at the back of the theater. To ensure the emotion reaches the entire audience, Taylor instructs the writer to alter the script so the actor slams the door upon exiting. This demonstrates Taylor's decisiveness, flexibility, problem-solving, and creativity.

Taylor's actions indeed reflect several important qualities that are valuable in directing a play. By acknowledging that the angry expression might not be perceptible to the audience at the back, Taylor:

1. **Decisiveness**: Taylor makes a prompt decision to alter the script to convey the emotion more effectively. Instead of deliberating or hesitating, Taylor resolves the issue quickly to keep the rehearsal process moving smoothly.

2. **Flexibility**: Taylor is willing to change the script, which shows an adaptable approach. Being flexible means being open to modifications and adjustments as needed, which is crucial when the original plan doesn't work as intended.

3. **Problem-Solving**: Taylor identifies a potential problem that could affect the audience's understanding of the scene and comes up with a solution. Problem-solving skills involve finding effective ways to overcome obstacles and improve the situation at hand.

4. **Creativity**: Taylor uses a creative solution to express the actor's anger — by having them slam the door. This is an innovative way to use physical action to convey emotion that relies on visual and auditory elements instead of solely on facial expressions.

Extra: In theater, it is important to ensure that every member of the audience, irrespective of their seating position, gets to experience the full range of emotions and actions taking place on stage. This is why directors, like Taylor, have to be keen observers and creative thinkers. They must envision how scenes play out from various angles and distances, and they must be ready to make changes that might include altering the script, adjusting the actors' portrayals, or enhancing the set design and lighting.

Another key concept here is the idea of non-verbal communication. In theater, actors must convey emotions and intents not just through their lines, but also through their body language, facial expressions, and even through props or actions, like slamming a door. These elements can reinforce the spoken word and ensure that the story is communicated effectively to the audience. It's also worth noting that directors often work closely with other members of the production team, such as writers and set designers, to ensure that any changes fit seamlessly into the overall production. Collaboration and communication are therefore also critical skills in theater production.