In　2010,　the　quantum　anomalous　Hall　effect　(QAHE)　in　graphene　was　proposed　in　the　presence　of　Rashba　spin-orbit　coupling　and　a　ferromagnetic　exchange　field.　After　a　decade　of　experimental　exploration,　the　anomalous　Hall　conductance　can　only　reach　about　0.25　in　units　of　2e2/h,　which　was　attributed　to　the　tiny　Rashba　spin-orbit　coupling.　Here,　we　show　theoretically　that　Re-intercalation　in　a　graphene/CrI3　heterostructure　can　not　only　induce　sizable　Rashba　spin-orbit　coupling　(＞40　meV),　but　also　open　up　large　band　gaps　at　valleys　K　(22.2　meV)　and　K＇　(30.3　meV),　and　a　global　band　gap　over　5.5　meV　(19.5　meV　with　random　Re　distribution)　hosting　QAHE.　A　low-energy　continuum　model　is　constructed　to　explain　the　underlying　physical　mechanism.　We　find　that　Rashba　spin-orbit　coupling　is　robust　against　external　stress　whereas　a　tensile　strain　can　increase　the　global　bulk　gap.　Furthermore,　we　comprehensively　explore　the　electronic　properties　of　3d,　4d,　5d　transition-metal　intercalation　in　graphene/CrI3　systems.