CdTe monocrystals were diffused with lOI9 cm-3 In atoms at 800 "C in Cd vapour. The local environment of lllCd populated by the radioactive decay of the nuclide "'In has been monitored with the time-differential perturbed angular-correlation method. The application of this technique provides the first direct information on the involvement of Indefect species in the compensation behaviour of highly doped CdTe. After quenching to room temperature, besides a substitutional fraction, two In-correlated complexes are found that involve interstitial or antisite defects. The complexes are formed and dissociate reversibly at 600 K. After slow oven cooling following the In diffusion, a third fraction is observed that is associated with InCd precipitates.