Sending a FIN flagged packet does not mean the server is having problems. It means the server has not heard any acceptable traffic from your end for X number of seconds, indicating that something is wrong (hence the 'terminate session'). If this were on the server itself, one would expect a multitude of sessions dropping constantly from that particular server.

The 10 'exhibits' are not all from Midgardsomr, some aren't even in the North American data centers. Yes, you are all encountering errors, but, no, there may be no real rhyme nor reason for the problem you encounter.

Since your wife runs fine, as you say, I'd focus on what is different there. Are you using the same set of game binaries? Are you accessing FFXIV from a single system account on your PC, or do you have separate accounts? Are there environmental variables and/or application programs you have on your account that she does not have on hers? Stathol's suggestions are a good start.