Maye says he was crouched down behind the end of the bed to protect himself. The same bed that his child was lying on top of, he was using for cover.
What would you have suggested as tactics? Anything Maye chose to do tactically would have certain risks, but putting himself behind the bed gave him some amount of concealment cover (which was probably the only sort of cover that was available) while preventing the intruder from getting between him and his child. It also meant that he would be in a position to quickly grab his child should the need arise.
Obviously you don't think such actions were well-calculated to protect his daughter, and some other approach would have been better. Care to elaborate on how Maye should have positioned himself?