It can be difficult to talk about mental health with friends and family. You can consider passing a brochure or article about mental health to your family member, and have a chat about it.
If you are keen to link your family member up with a mental health provider, you can consider a polyclinic referral for subsidised care, or contact a provider in the private sector for a more discreet experience. People are often worried about seeking help for mental health issues, hence your assurance and support would be very helpful.