Researchers at The Rockefeller University have found that anti-inflammatory drugs, like ibuprofen, aspirin and naproxen reduce the effectiveness of SSRI antidepressants. In a study, 54% of patients responded to antidepressants, but only 40% of those using anti-inflammatories responded to antidepressants. This can be especially significant for elderly patients with depression because they also often suffer from arthritis or related illnesses that are treated with anti-inflammatory drugs. So anti-inflammatory drug use might be the reason why your antiderpessants aren't having the desired effect. If this is the case then you'll have to weigh the pros and cons of continuing anti-inflammatory therapy and decide whether you have to continue it.
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Hope you're feeling well