The political winds of that place and time were ripe for a takeover from someone of the worst common denominator. While Morsi was democratically elected its obvious that the Muslim Brotherhood and its supporters put undue influence on the voters if not out and out lie to them about the situation they would find themselves in.
The majority of the Egyptian people did not want Morsi elected, which was why he was forcibly removed from office. The ballots in Egypt tend to be rigged, and there is hardly ever a candidate that is democratically elected over there. That is why it was so important to the country that he was forcibly removed from office!