It really depends on the context. Age can be a necessary indicator in some treatments. For some drugs for instance, the term 'elderly' may have to be used to indicate a group for whom it may be more or less suitable, or certain side-effects more or less likely.
However, for the individual, I would ask for your age to be given, rather than a group. The other medical professional is then informed.
I was pleased that in all recent news about vaccines, age groups rather than descriptions were used.
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