miraculously
From LSJ
οὐ γὰρ ἂν τό γε πραχθὲν ἀγένητον θείη → since he cannot make what was done as though it had not come to pass
English > Greek (Woodhouse)
adverb
wonderfully: P. and V. θαυμαστά, P. θαυμαστῶς, Ar. and P. θαυμασίως.
by divine interposition: P. θείως (Xen.), P. and V. θείᾳ τύχῃ, V. ἐκ θείας τύχης, Ar. κατὰ θεῖον.