I find reframing helpful in these kinds of situations. Language has power -- it isn't really a "rejection" letter you received (despite that being what everyone calls them), it is a "not accepted this time" letter. (Unless, of course, they actually sent you a letter saying something like, "We have openings, but we just find you so unacceptable and unappealing a candidate that we would never take you under any circumstances; you have no
chance of ever
getting into our program, don't ever apply here again" -- now, that
would be a "rejection letter," and, if you got one of those, you have my sympathies.
) There was a larger pool of qualified candidates than there were openings, as is typically the case, and some of you were, inevitably, disappointed. But not having been accepted (this
time, at this
school) is a lot different than having been rejected
Best wishes for your journey!