There's no better location for a stay in Athens, not for this rate. It's right by the center, close to everything a tourist will want.
But obviously there is a trade off for location/rate...the truth is it's not really a bedroom, more of a pod. It's very small and narrow. You sleep on a single bed and still don't have space. The chair and mirror are mostly for decoration. That being said, the shared bathroom and kitchen are clean and handy. If you stay for one or two nights and just need a place to sleep/shower, it might be the best solution for budget travellers. I do have to say in the past, I stayed in cheaper bigger place in Athens but not in the center.
Also - Alisa the host is very nice and accommodating and helpful.