No, the form doesn't impact your refund. In fact, the form
1095-C is not reported on your tax return. The form is a receipt from
private insurers or employers confirming you had health coverage. Keep it for
your records.
When
going through the Health Insurance section, all you had to do is indicate that
you have health insurance coverage all year (if applicable) and that you were
not enrolled in other plans (such us Obamacare of Healthcare.gov plan).
If you did so, no changes are needed for your tax return.