Fear of fainting is really common with anxiety/panic. However, it rarely happens.
That is a great skill you employed with the journal review! Keep it up. ..
...and if you are still struggling with this worry, try using the Therapy Worksheets from the Resources. The thought challenging/redirection exercises are powerful if practiced regularly.
"Courage is not the abscence of fear, it is feeling afraid and doing it anyway!"
"Worrying does not empty tomorrow of its troubles...it empties today of its strength."
Corrie Ten Boom
Panic Syndrome recovery due to CBT