As part of her role, Williams will explore the benefits of the trusts adopting a group model.
Williams said: ‘Having managed both community and hospital services, I am passionate about bringing care closer to home, focusing on joined-up, personalised and compassionate care.
‘We have amazing people in both trusts and I am looking forward to working with everyone to build a modern NHS where everyone has a voice and feels they belong.'
The incoming chief executive previously served as chief executive of the Royal Orthopaedic Hospital (ROH) in Birmingham.
Matthew Hartland, who has served as interim chief executive at ROH since October 2024, will remain in post while the recruitment process for a permanent successor is underway.