You were refused. Now what?
Ask for the refusal in writing, citing the specific statutory requirement you did not meet.
35 ILCS 200/15-169
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Your appeal route
Appeals in Illinois run under 35 ILCS 200/16-55. Deadlines are short, so ask about the appeal window in the same conversation as the refusal.
A refusal that does not name a statutory requirement is not a reasoned refusal. Ask which requirement, in writing, before you argue the merits.
One more thing worth checking
The commonest loss in Illinois is not a refusal at all — it is a veteran who was granted the exemption and then failed to return the annual renewal form.
Read the record