Lyn didn't think of the possibility of things being awkward.
Well, other than her avoiding eye contact with Allen. After what happened she felt awkward around him, and she stopped visiting him. She didn't want to avoid him. But Lyn knew that her visiting him would do no good. After all, the two of them need some time apart to think things through. It never occurred to her that she had a choice regarding their marriage. It never occurred to her that Allen even saw her as a woman who he would desire though Lyn is still skeptical on the last part.
For the first few minutes of the dinner, father and Kazuya made some light talk regarding the Kingdoms.
Kazuya impressed her.