(Collecta: S. Maria in Via Lata)
(Image source)
From the Churches of Rome wiki:
Sant'Apollinare alle Terme is a church dedicated to St Apollinaris, Bishop of Ravenna and martyr. The full name of the church is Sant'Apollinare alle Terme Neroniane-Allessandrine; this refers to the Baths of Nero which were in the area...
The church was founded in the early Middle Ages, probably in the 7th century. It is first mentioned in the Liber Pontificalis under Pope Hadrian I (772-795). The materials used were taken from the ruins of an imperial building. The first priests who served the church were probably Basilian Monks, eastern religious who had fled from persecution during the iconoclast period.
It is listed in the Catalogue of Turin as a papal chapel with eight clerics.
In 1574, the church was granted to the Jesuits by Pope Gregory XIII, and it was used as the church of the German College. The college was later united with the Hungarian one, and the German-Hungarian College remained a Jesuit institution until 1773.
In 1742, Pope Benedict XIV commissioned Ferdinando Fuga to rebuild the church, and it was rededicated in 1748.
