Step 1: Match the disease name to its rickettsial group. The word tick points to the spotted fever group rather than the typhus group.
Step 2: Within the spotted fever group, R. conorii is the species responsible for Indian tick typhus and Mediterranean spotted fever, with the dog tick acting as vector.
Step 3: Eliminate the distractors by their vectors and groups. R. typhi is flea transmitted murine typhus, R. akari is mite transmitted rickettsialpox, and C. burnetii is the Q fever organism spread mainly by aerosols.
Step 4: The only tick borne spotted fever agent in the list is R. conorii.
\[\boxed{\text{R. conorii}}\]