ὑποδέομαι
From LSJ
ὥστε ὁ βίος, ὢν καὶ νῦν χαλεπός, εἰς τὸν χρόνον ἐκεῖνον ἀβίωτος γίγνοιτ' ἂν τὸ παράπαν → and so life, which is hard enough now, would then become absolutely unendurable
German (Pape)
[Seite 1214] (s. δέω), dep. pass., flehentlich bitten, Greg. Naz.
Greek (Liddell-Scott)
ὑποδέομαι: ἀποθ., δέομαι ἱκετευτικῶς, Ἐκκλ.