I don't think you have anything to worry about. It's common to do internships in grad school & it's common for people to do grad school in their 30s. Also be assured the expectations will be different & you will have a much greater opportunity to do meaningful work than a younger intern. The best thing you can do is not obsess over the title intern & figure out who you can do some interesting work with that will count toward your school requirement.
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I don't think you have anything to worry about. It's common to do internships in grad school & it's common for people to do grad school in their 30s. Also be assured the expectations will be different & you will have a much greater opportunity to do meaningful work than a younger intern. The best thing you can do is not obsess over the title intern & figure out who you can do some interesting work with that will count toward your school requirement.