When you bide, you remain somewhere. You'd be wise to bide a while inside and wait for the rain to stop before you leave!
The verb bide is extremely old-fashioned, but you may be familiar with it from expressions like "bide your time" and businesses named "Bide-a-Wee." It comes from the Old English bidan, "to stay, continue, or remain." When you bide your time, you wait until a good opportunity comes up: "I'll bide my time until I find the perfect rescue dog." As for "bide-a-wee," that's a Scottish phrase meaning "stay a while."