In general, psychiatric services are covered by health insurance. It may be limited in some ay to a certain number of visits per year, and the deductible may be slightly different than a medical doctor, but it will be covered.
If you require emergency psychiatric care that requires in-house treatment, that would most likely be covered.
It is difficult to speak in certainties about the subject as each policy is different, but in general, you should have a fair amount of coverage for this. If you are concerned, as usual, speak with your insurance agent.