This is probably something that has been discussed before, but I can't find it though. When I offer a draw, it's almost impossible for me to find that information. I remember in the old days that when I offered a draw, it always showed up in My Games as 'Opponent's Decision' (or something like that), but now it appears to have vanished completely. I can't even find it in the 'Game Details' section. I think it would be nice to display it somewhere, as it can be nice when games are taking a long time, and you may forget about it, even ending up offering a draw on consecutive moves, which might seem rude (at least to me).
The only place I have been able to find it is if I click on my own handle, select View Games, and then it's visible. But that's not the way I access my games, ever.