Can my ministry survive without me?

Actually, yes.  ICCM has been around for over 25 years, and we have never had a ministry collapse because the techie was not there to solve a techie problem.  Some home-office staff do have to go through a little bit of inconvenience, but inconvenience is a part of life.  It is why patience is a fruit of the Spirit.  Patience is something we need, because life happens.