The loss could not have come in worst circumstances -- conceding the tying penalty kick late in second-half stoppage time after having lost stars Fernando Torres (twisted knee) and Steven Gerrard (strained hamstring) with injuries suffered in the first half.
The Royals, who had never won at Anfield, tied the score when Israeli Yossi Benayoun fouled Shane Long, and Gylfi Sigurdsson converted the penalty kick.
Reading triumphed on Long's goal in the 100th minute.
"In the last three months a lot of people have spoken about me and that will happen," Benitez said afterward. "I have to just keep moving forward and working hard. How do I cope with the talking and the pressure? I try to do the best I can. From the preseason, we have been a little bit frustrated, but we have to carry on. We have to move as quickly as possible. The players are very disappointed. We are all disappointed. It's not the best season. Sometimes you have bad moments and sometimes better moments. At this time we have to carry on and be ready for the next game. We have to be focused on football."