I also visited Tegea- but I didn’t make it to the museum, mostly due to bad planning. I arrived quite early but the Episkopi area was so refreshing that I postponed going back to the village for the museum until it was too late.
The Byzantine Church of Episkopi, devoted to the Dormition of the Virgin, is actually built on the ancient theater of Tegea. Tegea was a large city in a flat plain with no neighboring hills, so the theater was actually built from scratch. When I arrived it was the last day of a yearly fair that has been officially going on since 1893. The fair is held during the panhellenic celebration of the 15th of August, a day that is dedicated to the Virgin Mary. Apparently in the antiquity during the same annual period, another Virgin goddess was celebrated across Greece, the goddess Athena. Athena was also worshipped in Tegea during the antiquity. A massive temple, now at the village near the museum, dedicated to her can be visited.
Tegea was also the home of the 3rd century B.C poetess Anyte.
Now a small, even obscure village in Arcadia, Tegea still amazes with its contemporary history. It was here that the torch flame relay from Olympia to any city that hosts the Olympic Games was first conceived. Apparently in 1934 the International Olympic Committee was brought to the site. Inspired by the ancient monuments and the beauty of nature they decided to attempt the first relay for the Olympic Games of Berlin, in 1936.