Step 1: Match each type of rejection to its tempo. Hyperacute is the immediate one.
Step 2: The speed comes from antibodies that already exist in the recipient before transplant, most often from ABO incompatibility. The moment the graft is perfused, these antibodies coat the vessel lining, trigger complement and clotting, and the organ becomes thrombosed and cyanotic almost at once.
Step 3: Acute rejection appears over days to a few weeks and chronic over months to years, so neither fits. The hyperacute reaction unfolds in minutes.
\[\boxed{\text{In minutes}}\]