OK, now that you explain, I see. Fuller info means better advice. So, you come from Kusadasi, just 1 day, you'll want to stay in Vathy. You can have fun ... here are some thoughts:
HOTEL: I have a really cute one, family-run 20 rooms, Hotel Pythagoras. coming off the pier, it is to your left, about ?300 yards? (they would pick you up if you gave advance notice). Just walk the road along the water, you'll come to th gates to the hospital on the inland side, and Pythagoras is on left. Upstairs rooms, balcony right on Vathy Bay (TEAL BLUE water!). about 25€ double... main floor terrace and rooftop terrace for sunning also. Stelios & wife & grandparents v. nice; they have ground-floor cafe.
RESTAURANT: If still open, the building right next door, down right at water's edge is FIND. 1st time I was there in 03, hadn't opened, in 06 it was; tables right on water... stunning to sit there as sun sets in mouth of Vathy bay!!! I took 20 pix. Plus, solid authentic Greek dishes, about 12€ per person ...
BEACH: From your balcony, look down & to right, tiny sandy beach. Buy a beverage from the little cafe there, & sunbeds are free. Water will be bliss.
TOWN: Not touristy . BUT the best little museum in the N.E. Aegean - with the BIGGEST KOUROS in the WORLD. Kid you not. 25 feet high? Also lots of votives discovered at temple of Hera.
UPPER TOWN: Ano Vathy (high Vathy) a secret find, for a hike. Just head up ... and hear the quiet. Only sounds: a rooster, a donkey, a goat bleat. I walked on a gravelled road up there for 45 minutes, no car passed me, gorgeous cream colored walls, terracotta roofs, twisty cypresses... looking down on the bay, it's like an Italian lake. Feel the peace, descend & take that swim.
TAVERNA #2: Behind Hotel Aeolis on seafront, Garden Taverna. Vine roof, good lamb stews. On my last visit, saw 20 members of a British walking club -- aged 70 to 92!! They'd walked 20 miles that day in W. Samos.