WI Emperor Theodosius I loses battle of Frigidus in 394 AD?

In 5 September 394 Eastern Emperor Theodosius clashed with the Pagan Western Emperor Eugenius near Frigidus river in Pannonia. Theodosius attacked almost immediately, having undertaken little to no prior reconnaissance of the field of battle. He committed his Gothic allies to action first, perhaps hoping to thin their ranks through attrition and lessen their potential threat to the Empire. The Eastern army's headlong attack resulted in heavy casualties but little gain, and the Georgian general Bacurius was among the dead.
Day's end saw Eugenius celebrating his troops' successful defense of their position while Arbogast sent out detachments to close off the mountain passes behind Theodosius's forces.
After a sleepless night, Theodosius was cheered by the news that the men Arbogast had sent to bottle him up in the valley intended to desert to his side. Buoyed by this favorable development, Theodosius's men attacked once again. This time nature was on their side a fierce tempest blew along the valley from the east. The high winds blew clouds of dust into the faces of the Western troops (legend also says, that the fierce winds even blew the Western troops' own arrows back at them). Buffeted by the winds, Arbogast's lines broke and Theodosius gained the decisive victory that the Egyptian monk had prophesied.
WI Theodosius who was losing the first day lost his nerve and retreated leaving Eugenius victorious? How is a pagan victory affects History? Any thoughts?
 
I'm not sure if a pagan victory would change very much. Christianity was on its way upwards and a military victory alone would hardly be enough to stop such a development if it is not followed by other measures.
 
I'm not sure if a pagan victory would change very much. Christianity was on its way upwards and a military victory alone would hardly be enough to stop such a development if it is not followed by other measures.

Well Eugenius had already replaced Theodosius's christian officials in the West with pagans (Virius Nicomachus Flavianus became Praefectus Praetorio per Italiae Nicomachus Flavianus received the Praefectus Urbi Romae title and Numerius Proiectus became Praefectus Annonae).
Also with the support of the Senate he reconsecrated the temple of Venus and Roma and restored the Altar of Victory in Roman Curia...
If Theodosius is badly broken after the battle i am sure that Western army and the Roman Senate would press Eugenius (who was only nominally Christian) to persecute Christians in the West...
 
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