As far as I understand it, gravitational lensing would affect the trajectory of particles travelling different speeds differently. So it would seem entirely possible that the matter wouldn't even be pointed at us. That assumes that either is being significantly affected by gravity of course.

Also bear in mind that though the light of 1000 trillion suns has been pointed at us, it's not like we have a second sun in the sky right now. It's really, really far away.