Hydrogen peroxide will get blood stains out will not harm fabric.

Exactly, the nurses at the hospital all clued me in to hydrogen peroxide to remove blood. I get kidney dialysis and twice I've had bleeding accidents when my arm "leaked" blood on my clothing. Pour it straight on the blood, wait for it to bubble up, then wash or rinse as needed.

Lynn - I have a microfiber couch and when I saw a water ring, I took a clean, dry stiff brush (actually an old toothbrush) and lightly rubbed the outline of the water ring. It worked...you might want to try that.
I think if it did not, I would rewash the entire surface of the cushion with the same product you used initally. That should eliminate a ring, and make it all look the same.
I hope your kitty is ok. That must have been quite a scare.

I have cleaned my couch with a carpet cleaner then used a shop vacuum to pull any residue that may have been left & it doesn't leave any kind of spots; I do this while it is still wet. May work with water

Just apply a small amount of hydrogen peroxide directly to the stain and watch as the red blood stain disappears.