Well, the woman is obviously unhappy with the idea of becoming old, but that's clear from the context and has nothing to do with the phrase "a ripe old age." That just means a very old age, it doesn't really carry any negative connotations. You can say a man "lived to the ripe old age of 90," it just means that he lived to a very old age.
A person may be unhappy about aging, but my impression is that a ripe old age has a positive cast. Ripe means 'fully developed, mature'. It doesn't bring to mind fading powers, or any of other failings that are associated with aging,