It will go in an out without any issues IF the ramp angle, both at the top and the bottom does not exceed 9.5 degrees. Width could be fun, as the car, not counting the mirrors is 76.5" wide, so hopefully your trailers side door allows one access that way, or the driver is thin.
Another option is, after PDI, have them remove the skirts and/or front splitter (bolt in/out). Of course that would be a supplemental ticket (charge), but even though they come without those aero pieces attached when delivered by the shipper, suggest you make them out them on during the PDI (test-fit) so if problems later, no one points fingers your way.