A woman found at the bottom of a Bedford hotel pool was in critical condition Sunday evening, a spokesman for the town’s police and fire departments said. The 40-year-old woman, a guest at the DoubleTree Boston-Bedford Glen hotel, was found at the bottom of the hotel pool just after 7:45 p.m. Sunday, spokesman John Guilfoil said. A bystander, an EMT, gave the woman CPR until firefighters arrived at the hotel’s location, 44 Middlesex Turnpike, Guilfoil said. The woman was taken to a nearby hospital in critical condition. How the woman got to the bottom of the pool remained under investigation Sunday night by Bedford police, Guilfoil said.Gal Tziperman Lotan can be reached at firstname.lastname@example.org.