the definition of abandon says to cease support. I would see abandonment as a therapist terminating suddenly with no explanations or closure sessions.
as far as emails and texts, I think it's really defined within its context. for me... I had feelings of abandonment and still do. but I realize those feelings come from my child part. logically I see valid reasonings behind my therapist backing off of outside communication. and I see progress within me and my life from it. I do think he fumbled it up though in the beginning, which I addressed with him (numerous times) and he has been apologetic and compassionate (in person) to my pain and hurt I feel about that...