Dreams featuring insects, particularly ones that evoke fear like hornets, can symbolize feelings of anxiety or threats in your waking life. The Asian giant hornet in your dream may represent a concern or challenge that feels overwhelming or intrusive. Your instinct to run away indicates a desire to escape from these stressors.
The presence of your graduate advisor, who has experience with the hornet, suggests that you may be looking for guidance or support in dealing with your fears or challenges. Her ability to calm the hornet with tea symbolizes finding a peaceful resolution to your anxieties.
Squashing the bee at the end of the dream reflects your desire to overcome or eliminate the source of your stress. Overall, this dream may be urging you to confront your fears rather than avoid them, and to seek support from those who have experience in handling similar situations. Consider what challenges you are facing and how you can address them with the help of others.