Am I being rude or inconsiderate? *UPDATE*

*UPDATE* Thanks for the advice. I messaged him amd told him I was sorry and may have been being dramatic and where that stemmed from. Which is the fear that it will get worse on our lunch break like the last time we had a disagreement before work. Thanks again! Sometimes I just need to be told Im wrong by an outsider. 😂

He and I can get quite arrogant and stubborn.

Im asking you only to look at my side of the convo. Please tell me if Im being unreasonable to ask that we table the fight and that he gives me some space to go home and eat lunch alone. We live close to my work so I usually go home for lunch with him and we fought this morning and had to leave it unfinished because I was late.