Is the phrase “refreshing respite” redundant? Refreshing is defined as “serving to refresh or reinvigorate someone”. Respite is defined as “a short period of rest or relief.”
"Respite" can be qualified. There is inadequate respite; physical but not mental respite; welcome respite; little respite, etc.
"A short period of rest or relief' does not contain within the nuance or information: 'serving to refresh or reinvigorate someone [or something]'
You can omit any adjective, but, in doing so, you will probably omit information.