I talk to a lot of people in crisis chat who feel bad taking up my time, or are reluctant to seek treatment from a professional, or would pay for help but are reluctant to accept free help, because there are so many people out there with more serious problems. How serious their problem is varies: sometimes it really is a mild problem, sometimes it is years of horrendous abuse that is still technically not the worst thing a human being has ever experienced in the history of time.
The most useful response I’ve found is: “We treat people with sprained ankles even though there are other people with broken bones. Be honest about your situation and trust the doctor/therapist/charity to prioritize their resources appropriately.” Nothing works all the time, but I can’t think of a time it didn’t at least help.