Is it permissible to seclude oneself with a woman to lead her in prayer as an Imam?

It is not permissible for a man to be in seclusion with a woman who is not his mahram, due to the Prophet's (peace and blessings be upon him) saying: "(No man is to be in seclusion with a woman unless a mahram is with her)," and his saying: "(No man is to be in seclusion with a woman, for verily, the third of them is Satan)." This prohibition encompasses all circumstances, even if the seclusion is for the purpose of prayer. The jurists have agreed on the prohibition of seclusion with a non-mahram woman, and that if a man leads a non-mahram woman in prayer and is in seclusion with her, it is forbidden for him and for her.