Travian-Babysitter today is totally safe and cannot be detected by Travian's admins. Before this software was born, has been evaluated about 4 months in a closed group of testers with excellent results.
None of this users never had a problem of bloquing because of this software.
However you must know that the Travian rules are very clear about using external programs to manage your acount. So be careful with who you say that you use travian babysitter. Look! you can only be punished by travian admins for using the program not for talking about it. Use it under your responsability.
Every day more players use this software, only with your support it could be thath this great software didn't get forgotten... enjoy it.