IMO yes. Chronic health problems lead to anxiety and situational depression in many of us. Plus there is a lot of scientific evidence of the mind gut connection. Important chemical production, I think serotonin, involves the gut and we have lost a big part of it. So there is an actual chemical shortage in our brains that help combat stress/depression.
There are newer antidepressants that don't make you gain weight and don't affect your sex drive. I also think if you feel better your sex drive should improve too I take Viibyd and Wellbrutrin. I have fibromyalgia and was on Wellbrutrin before the surgeries. A second and different kind of antidepressant was added after the surgeries because I had a lot of anxiety and was depressed. I was on Citalapram but was changed to Viibryd recently. It depends on what your doctor thinks you need to take. They usually start you on a smaller dose and increase it if needed. The older ones like Prozac have been improved. If you do an Internet search you can read up on the different types. There are SSRI's which are serotonin uptake inhibitors (?)......citalopram generic for celexa is one of those and other kinds. It would be good for you to read up on the different types before you have the discussion with your doctor.
I did not have any luck at all in the past with antidepressants that are designed to help with fibromyalgia, another major health problem of mine. Cymbalta, Savella and Lyrica did not work well for me at all and I don't see any reason why they would prescribe them for you but they do work well for others with fibromyalgia.
I am on a stronger one, Viibryd, because I have fibromyalgia so I doubt if your doctor would put you on the same thing. If you tried one out and it didn't help you can always taper back off of it and try another. It usually takes a few weeks to help but I'd say a good month or so before you notice any real difference.