A FlyerTalk Posting Legend
Join Date: Sep 2009
Location: Minneapolis: DL DM charter 2.3MM
Programs: A3*Gold, SPG Plat, HyattDiamond, MarriottPP, LHW exAccess, ICI, Raffles Amb, NW PE MM, TWA Gold MM
Posts: 100,399
I can see both sides. It would help to know details of the original nonstop flight versus the connection that was offered for the same day. In many cases, one connection isn't a big deal, but it could be if the times were bad or if the OP had originally paid more to avoid the hassle of certain airports or routings.
Could the OP move the date in the opposite direction and stay one day longer, either in the original hotel or in some acceptable airport hotel?