Under pressure, the company issued a statement disavowing any connection with the illegal activities of its former employee.

disavowing 是动词 disavow 的现在分词形式。disavow 由前缀 dis-（表示"否定、相反"）和动词 avow（"公开承认"）组成，意思是"否认、拒绝承担责任"。在句中表示公司主动否认与前雇员非法行为的关系。