Assuming those photos are of the bike upside down.
I can’t see how those two little slivers (one of which is now gone of course) of aluminium can be providing any real structural strength to the dropout other than stopping the axle falling out.
If it was an old-style open dropout without the mounting part for the hanger we’d all be happily riding it.
So the question is, could the hanger that sits in there pull out? The whole spine/plate thing that it mounts on would have to pull out for that to happen, which seems unlikely to me, all it really needs to do is hold half the wheel up when you’re off the ground.
So, yes, on balance I’d ride it.
Although I would feel happier getting a commitment from the supplier to get it replaced, then glue the hanger into the dropout until the replacement arrives.