Well when deer hunting we try to be as quiet as possible .... when traveling through bear country we try to be as noisy as possible... tough choice.. but i would quietly get away from my stand/hunting area then make some noise the rest of the way. When i hiked the app trail we wore bells to alert bears of our presence which gave them time to get out of the way and not be startled by us, which can lead to a nasty encounter(have a few good bear stories from that trip)and when wearing the bell we still jumped deer and turkeys so i don' t think it will spook the deer any, just my $.02.
but if in that situation again make noise alot of it and LOUD if the bear doesn' t change its direction you change yours slowly but ready to defend yourself... and if it comes time to haul a$$ then haul it downhill they don' t run as fast downhill as side or up.