You could stay in no better place. It isn't in the touristic center, but this is the quality of this place. You're still very close by everything you need but not in this huge crowd. With the help of Oskar you can find easily a scooter to rent and then you feel like a real Kalymnian because your free to decide where you want to go.
The place is unique, you can go everyday for a little swim with the local women at the nearby private beach. Only with taking the stairs down from the apartement and you're there. From the apartment you see the sea and at the evenings you see all the stars with milkyway.
If it is the first time at Kalymnos you will get to know it from the best side, because Oskar has you the best recommendations of places, food, etc. and you feel right away home.
Yes, I can only recommend you to spend your time there.