Should distance to travel be a factor when deciding on a music teacher?

No. When I started learning I travelled great distances to find a good teacher. An alternative to travelling to a lesson is having the same individual lesson using the internet. The quality of the teacher is the most important factor. Not all teachers are the same. Unfortunately standards vary greatly.

In fact it would be an advantage to the student if their computer literacy also developed while learning music. A great deal of music related work involves I.C.T. skills.