Talha Alvi and collaborators from SMU, Boston University, and UCLA recently published a paper in the Journal of Abnormal Psychology in which they demonstrate negative associations between social anxiety symptoms and social cognitive ability. This paper included a sample of nearly 1500 people and may represent the largest examination of social anxiety and social cognition to date.
Here is the in press reference:
Alvi, T., Kouros, C. D., Lee, J., Fulford, D., & Tabak, B. A. (in press). Social anxiety is negatively associated with theory of mind and empathic accuracy. Journal of Abnormal Psychology.