To find the place is quite easy: from Paphos you drive on the motorway until exit Evdimou, and through that village it is signposted: Anogyra/Monastery. Just 1 km outside of Anogyra, right on the main road it is, one can't miss it.
The church is from the 15th century built over the foundations of an much older early Christian basilica

These photos are from the main road and show the massive construction of the ancient basilica


here towards the entrance of the church with a massive piece of column, perhaps used previously in an old olive mill...


the other side of the whole complex

now a look inside the barrel-vaulted church with single nave and dome

Wall paintings are in Palaiologan style and rare examples of this technique on the whole Island


this photo shows the other side of the church where are no frescoes left, but an ancient column holding the cross

back to the outside

again to notice the massive blocks the foundation is sitting


So that's it before it gets boring for some.
What I also recognized next to the Monastery was a large area with remains of even older buildings, perhaps destroyed from the large quake in the 3th century which also flattened Kourion.
Here a copy from the Department of Antiquities, concerning that area:
The main objective of archaeological exploration in the vicinity of the village of Anogyra was to conduct a geomagnetic survey at the site of Anogyra-Tsoulloufatesena, opposite the medieval monastery of Timios Stavros (Holy Cross). The total investigated area measures around 0.3 hectares. Although impressive architectural remains could not be detected due to the small contrast of the magnetic properties of the limestone walls and the extremely rocky soil, nevertheless, it is almost certain that a large building complex lies in this area. This is evidenced by the presence of building remains in trenches that were investigated in the past, displaced cut stone blocks, a stone weight from an olive oil press and ceramic material (fragments of tiles, large clay vessels and jugs), primarily dating to the 3rd – 4th century AD.
So finally my verdict about the place: I liked it much more than Sinti Monastery due to the fact that this ancient site is nearly 1000 years older and my main interest is the Cypriot history before Christ.
Max