The woman may initially be confused. She might question her own sanity. As the story progresses, if she realizes she's not alone in this experience (maybe there are others with similar strange sensations in the story's world), she could become more determined to find out the cause. Or if she's alone in this, she may gradually become resigned to living with this constant buzzing in her head.
She could try to ignore it at first, thinking it's just a passing thing. But as it persists, she may start to worry more and more. In the story, she might start to isolate herself, afraid that others will think she's crazy for hearing a bee in her head. She may also try to find ways to make the sound go away, like taking medications if she believes it's a medical issue, or seeking psychological help if she thinks it's in her mind.