Breaking　the　time　reversal　symmetry　(TRS)　in　a　topological　insulator　(TI)　by　introducing　a　magnetic　order　gives　rise　to　exotic　quantum　phenomena.　One　of　the　promising　routes　to　inducing　a　magnetic　order　in　a　TI　is　utilizing　magnetic　proximity　effect　between　a　TI　and　a　strong　magnetic　insulator　(MI).　In　this　article,　we　demonstrate　a　TI/MI　heterostructure　prepared　through　transferring　a　molecular　beam　epitaxy　(MBE)-grown　Bi2Se3　film　onto　a　yttrium　iron　garnet　(YIG)　substrate　via　wet　transfer.　The　transferred　Bi2Se3　exhibits　excellent　quality　over　a　large　scale.　Moreover,　through　wet　transfer　we　are　able　to　engineer　the　interface　and　perform　a　comparative　study　to　probe　the　proximity　coupling　between　Bi2Se3　and　YIG　under　different　interface　conditions.　A　detailed　investigation　of　both　the　anomalous　Hall　effect　and　quantum　corrections　to　the　conductivity　in　magnetotransport　measurements　reveals　an　induced　magnetic　order　as　well　as　TRS　breaking　in　the　transferred　Bi2Se3　film　on　YIG.　In　contrast,　a　thin　layer　of　AlOx　at　the　interface　obstructs　the　proximity　coupling　and　preserves　the　TRS,　indicating　the　critical　role　of　the　interface　in　mediating　magnetic　proximity　effect.