From 2011 to 2015, she served as Matron-in-Chief (i.e. head) of the QARNNS.[6] She was also Deputy Assistant Chief of Staff (Healthcare) at Navy Command Headquarters from 2012 to 2015.[1] She was promoted to commodore on 9 February 2015.[7] From 2015 to 2017, she served as Inspector General of the Defence Medical Services and was based at the Headquarters of the Surgeon General.[1] In this role, she was responsible for inspecting medical departments across the armed forces, be it a sick bay on a ship or a hospital in a foreign posting.[3] In 2017, she was appointed Head of the Royal Naval Medical Service and Medical Director General (Naval).[1] As such, she was also a member of the Second Sea Lord's Board of Management and serves as the medical adviser to the Admiralty Board.[8]
Kennedy retired from the Royal Navy on 1 September 2021.[9]
In June 2021, Saga Cruises announced in a press release that Commodore Inga J. Kennedy CBE QHNS QARNNS, has been named godmother of Saga Cruises’ newest ship, the spirit of adventure. Kennedy has followed the footsteps of HRH The Duchess of Cornwall, who was Godmother to sister ship Spirit of Discovery.[12]