I really depends on your psychiatrist/doctor. Some are not comfortable treating things they see as outside the scope of psychiatry, others have a more holistic view and see at least all side-effects as something they should treat. Some may see all (psycho)somatic issues as something they should be involved in.

It does make it easier if the latter, for side-effects, is the case. I would think it usually is the case. I'd personally think many problems should at least first be elucidated/investigated by your psychiatrist and he or she can then direct you to a specialist, probably via a GP visit to keep responsibilities and information flows clear/correct.