You will probably adapt if you ride it for a while. I found a vintage Zeus with a 56 X 56 frame. Age has shrunk me down to a bit over 5' 6". I'm still flexible and I can ride 51-54 cm frames with no problems, but after I overhauled the bike and added some new parts, I just had to try the finished product. There was only about 1/8" of top tube clearance and its longer stem put me into a more aero position but surprisingly, I quickly adjusted and found it quite comfortable even on long rides.

My oldest son is about 6' tall and had been riding a 59 cm Schwinn since college. Shortly after I fixed up the Zeus, his old bike was stolen. I talked him into trying the Zeus, but he was sure it would be to small. We found he only needed a taller seatpost. He loves the bike and is back to regular riding again. Don