If either of these schools are in the UK, rest assured that the April 15th deadline does not apply and also that it's fairly common for people to accept master's places then back out later and wouldn't be cause to burn any bridges. Feel free to PM me if you have any questions about the British system (afraid I can't answer for rest of Europe though!)
I did the MSc Medical Anthropology programme at UCL, and there's a psychoanalyst and psychiatrist on the faculty - Joe Calabrese and Roland Littlewood. Might be suitable for you? There's also a very strong digital anthropology programme in the department which it sounds like you'd enjoy too.