By the beginning of the 19th century, the old wooden Intercession Church in Kunya had significantly deteriorated. In 1809, the construction of a new stone church began. To supply materials for the construction, a brick factory was built in the village, producing 30,000 bricks a year. The church was completed in 1816, after the Patriotic War. This date is noted in a pre-revolutionary directory of the Kursk diocese.

The Kunya church is described as "one-headed, six-pillar, three-apsidal, with squat proportions" by specialists from the Kursk local history museum, who conducted its art historical examination a few years ago.

Who exactly was the initiator and chief builder of the new church in Kunya has not yet been established. Recently, while planning the area around the church, a bulldozer unearthed two gravestones. The inscriptions on them indicate that here lie buried court counselor Andrei Tels, who died in 1829, and captain-lieutenant of the fleet Alexander Tels, who passed away four years earlier. Since the difference in their birth dates is small, it can be assumed that they were brothers. In the neighboring village of Rzhavets, the Tels family had an estate, possibly granted for service. They likely played an active role in the construction of the Intercession Church, as they bequeathed to be buried at its walls. In Rzhavets, one of the streets is still called Telsovo.

In Rzhavets, there also lived landowner Platonova, known as Platonikha. She financed the addition of the Vladimir chapel to the Kunya church, and possibly the Iberian chapel as well. Out of respect for her, services in the church on holidays and Sundays did not begin until her arrival. The bell ringer watched from the bell tower for the appearance of her carriage and began ringing the bells to greet her arrival.

Before the revolution, the Kunya bell ringers used four bells that remained from the wooden church. Now, parishioners gather for service under the sound of one large bell, a small bell, and a cut oxygen cylinder.