dear celinedufour
i will answer in english as my french is even worst than my english :-)
i travel to yemen since 7 years. sometimes even twice a year. while until 2010 i could get a visa on arrival, now you have to book a tour trough a (local) travel agency. actually it is good, because there are some areas where tourists can´t go. for example in sanaa. at my last visit in 2013 we still could go to hadda area and visit one of the good restaurants. it is the area where are the foreign companies and embassys too. but lately this is the hotspot for kidnappings. so you should not go there ! same tahrir. a company who cares about the life of it´s tourist would not take you there or to risky areas anymore.
sadly i could see in tripadvisor that one agency dont care about the tourists and do everything to make money. one agency is taking tourists to the area which is closed for tourism: hadramaout. they have to fake the papers, otherwhiles it is not possible to bring a foreigner, who is not a muslim, there. it is actually also stupid from the tourists that they want to go there...... i mean, just imagene, all the embasys already have a travel warning for all yemen.
the yemen goverment still let tourists come, but closed some areas for tourists, because they think it is too dangerous.
and people still try to find a way to go there. it is just a matter of time until something will happen there again.... and it definetly will because people don´t accept that there are "no go´s" in yemen.
but back to your question: yes, you can go to yemen at the moment. but try to find an agency who care about your safety ! the once who say: ya, no problem, everything is ok, all the bad news are just propaganda etc. - dont listen to them ! since 2010 i book my tours trough mohammed from unexplored-destinations.
i wanted to travel there next week, but he don´t organize me a tour these days ! he sayd, i should wait, until the situation calm down. he sayd, if i only go to sanaa and socotra, i can come, but for other areas he want to wait a bit longer. so, i wrote to other agencys, and noone mentioned anything about a problem or that i should wait some more weeks to see what is going on. as i want to travel in haraz mountain and not only sanaa and socotra, i will wait for his ok to come. i feel safe travelling with him, because he put the safety for his tourists over the profit..........
yemen is a georgeous country ! the people, the architecture & the nature is amazing !!! with every trip i love it more and more. anyway, if someone have a question about yemen - feel free to send me a message