To the northeast of the Assumption Church is a small Church of the Meeting of the Lord with single-story hospital cells, built in the second half of the 17th century. The monastery priest Nikolai Voskresensky noted in his description of the monastery in 1851: "It was a noble thought of Father Korniliy to establish the Meeting Church by the hospital! Elderly patients and dying nuns, where should they seek solace and comfort in their sorrows, if not in God and from God? And the Meeting Church, where even now the aged gather for prayer, instills in their souls those calm and comforting thoughts that the righteous God-receiver Simeon was filled with at his end. Looking at this holy local Icon in that temple, they too die peacefully, some even with joy! As before, so now the dying nuns are buried in the Meeting Church."

The church has a simple and concise appearance, corresponding to Pskov architectural traditions. The temple is divided into two equal parts: a square section with a rectangular altar and a northern porch. The main volume of the temple, flanked by pilasters, is slightly elevated, covered with a four-pitched roof and topped with a blind drum with a dome and cross. Above the porch is a small bell tower. The stone western tambour of the church with a decorative kokoshnik above the entrance has not survived. The altar floor was made of white stone, while the refectory part, made of brick, was partially covered with slabs in the early 19th century. The church was heated by two tiled stoves: one was located in the altar and heated from an attached tent on the east, the other was in the refectory. On the northern side, stone hospital cells were built simultaneously with the temple, connected to the eastern part of the cell building. A window opening was made in the wall of the church adjoining the cells so that the infirm could hear the service. On the southern side, a white stone staircase leads under the Meeting Church, into a deep vaulted cellar, also lined with white stone and likely preserved from earlier constructions. On June 5, 1712, by the decree of the princesses Maria Alexeyevna and Theodosia Alexeyevna, the relics of the princess-nun Margarita Alexeyevna were transferred there from the common monastic burial place. Next to her, in 1713, her sister Princess Theodosia was buried according to her own will. To the east of the Meeting Church were stone vaulted cells, which housed the kitchen for the hospital and a storeroom. To the south, a wooden burial vault was arranged for the burial of nuns with a wooden tent roof.

In the 1820s, with the funds of the benefactor, Alexandrov merchant Mikhail Matveev Kalinov, a complete renovation of the Meeting Church was carried out, during which the dilapidated wooden roof was replaced with an iron one and painted.

In 1858, a strong fire caused by a lightning strike damaged the shingle roofs of the cell building, which then ignited the hospital cells and the church. The report stated: "The Meeting Hospital Church, located in connection with the hospital building of the monastic cells, was burned: the dome, cupola, and roof to the vault were destroyed, and the interior was damaged... The two stone cells adjoining the Meeting Church, separate from the main building, burned to the vaults, and the wooden ones above them and wooden ones not far from them burned completely." Fortunately, the altar of the church and the stone altar were not affected by the fire: the antimins issued on December 16, 1831, by Bishop Parfeniy of Vladimir was preserved for a long time.

After the fire, by 1860, according to the project of the diocesan architect N. Artleben, the stone hospital building was rebuilt as a separate structure from the cell building. The eastern stone cells were not restored. The church was completely renovated, during which the door that previously led directly from the hospital cells was bricked up. In 1923, the Meeting Church, along with other temples, was closed. By 1931, the church was used for storing museum collections, and the local history department was located in the almshouse. Then the church building was rented for a long time by a dairy plant. By the 1990s, an exhibition dedicated to the 1905 revolution was arranged in it. In 1993, the temple and a small part of the cells were transferred to the sisters of the revived monastery. After repair and restoration work and the recreation of the temple's decoration, in December 1995, the Meeting Church was consecrated again by Bishop Evlogiy of Vladimir and Suzdal. In 2004, a new carved iconostasis with icons painted by the nuns of the monastery was installed.