You need a stalling phase here.Meanwhile, panicking, the Tsar and his advisors immediately tried sending offers of peace and negotiation to Britain, but these offers were rejected, then followed up by a declaration of war. The Anglo-Russian War, more commonly known as the War of Dogger Bank, officially began on the 22 of October 1904.
The Tsar offers peace Britain makes an insane demand, Russia refuses. Or you need to detail the Russian offer of peace as being and have it being rejected for not offering enough.