Only if you think it would benefit you. Basically, they would want you on meds. If you are managing fine then no but if you are really struggling then it may help to see one at least once to get an idea on whether it would help you. Some people do very well on meds. I guess we get a biased view here on PC as most people post when they are not doing well and finding the right meds can be very difficult sometimes. It is good to be open to all options for treatment. Is it your T that is suggesting a psychiatrist? Do you trust him/her?

I don't live in the USA but where I am the public system is difficult with long waits but there still are some great pod's in there. Good luck!