Take another look at the sentence:
Tikeja __________ Michael's forehead to confirm his fever. When cool skin met her touch, she knew her little brother was faking an illness to get out of helping her rake the big backyard.
The sentence requires the simple past of feel, an irregular verb. Felt is the simple past form.
|Verb||Simple Present||Simple Past||Past Participle|
Feeled, the form you chose, is a spelling error. Before you continue, review the rules for irregular verbs.