The Lord is Our Shepherd

We read in Mark about Jesus being a shepherd to his people.  (“He had compassion on them, because they were like sheep without a shepherd.”)  But not quite an enthusiastic one, it seems!  He was hounded by demanding crowds, with barely time to recover, regain his strength, regain that power that left him when he healed.
… So I can’t help noticing that Jesus was sometimes a reluctant healer.  Why do I say that?