"Turn southbound" is terrible comm. The US controllers need to clean up their game for foreign carriers. Speed talking, with US standard comm, is a bad idea for foreign carriers.
"What are you doing" is also terrible comm. Be directive with specific instructions. Hopefully the standards division of the ATC management will use this as an learning example for improved standard comm standards.
Using flightaware's altitude and heading information the flight was at 4800'-5000' northbound and 6200'-6400' when it went through the easterly heading. Too close.