Final answer:
According to Audre Lorde, the primary obstacle that threatens to prevent her from speaking and writing is the lack of recognition and acceptance of marginalized women.
Step-by-step explanation:
According to Audre Lorde, the primary obstacle that threatens to prevent her from speaking and writing is the lack of recognition and acceptance of women, particularly those who are black, lesbian, older, or poor. In her essay 'The Master's Tools Will Never Dismantle the Master's House,' Lorde emphasizes the importance of acknowledging and embracing the differences and experiences of marginalized women, instead of conforming to society's narrow definition of acceptable women.