Eugenius was nominally a Christian, and therefore was reluctant to accept a program of imperial support to Polytheism.
This religion varies from Monotheism, Polytheism, Pantheism, Atheism and other tendencies, so considering another conception of God another form or avatar of the ultimate reality or creator is certainly possible.
Some also denounce non-Christian religions such as Islam, Wicca, Paganism, New Age groups, Buddhism, Hinduism, and other polytheistic religions.
The Muslims performed the usual circumambulation vigorously and briskly; and on recommendation by the Prophet they did their best to appear strong and steadfast in their circumambulation as the polytheists had spread rumours that they were weak because the fever of Yathrib (Madinah) had sapped their strength.