Yes, it is safe to travel to Egypt according to many Foreign Consulate Offices, including that of the United Kingdom and United States. In the words of the U.K. FCO: “The area to which the FCO advise against all but essential travel does not include the tourist areas along the Nile river (e.g. Luxor, Qina, Aswan, Abu Simbel and the Valley of the Kings) or the Red Sea Resorts of Sharm El Sheikh and Hurghada.” The U.K. FCO also includes a map of the “green zone” (safe for tourists) that incorporates expansive areas in and around everywhere Nour El Nil travels. You can download this map here: Download Map. It’s also worth pointing out that Egypt as a country, according to the crime index has a lower crime rate than USA, France, Italy, Greece, and many other countries!
We also encourage you to read this article in The Guardian by Anthony Sattin, writer of Lonely Planet Egypt, on why now is the time to travel to Egypt: Egypt, Why To Go Now. While the article was writtten in March 2014, it still applies today, as tourists at that time had many of the same concerns as they do today.