The lead author works in cosmetic facial surgery for "rejuvenation" so I think that would count as a potential conflict of interest so is probably worth bearing in mind...
In any case it's purely qualitative research, based on a pretty limited twin study. It also didn't just consider antidepressants and also considered divorce and weight, and it's unclear how they accounted for the the intersections of these (many antidepressants can cause weight gain, and people who go through a divorce may end up taking antidepressants...) so it's not clear they can reliably say any one of these factors alone is correlated with appearing older, much less imply any kind of causal relationship (it may just be that people who appear older are more likely to get divorced, need antidepressants, or gain weight, for entirely separate factors...).
I'm skeptical, personally.