*cough*there's only two canon times that she fainted in front of Naruto*cough*
Analizing Hinata's fainting background:
1st test of the Chuunin exam: zero, and she was beside Naruto during the whole test.
Preliminary matches: She fainted due to Neji's attacks and it happened after Kiba was taken by the medics. So this one becomes another zero for the record.
Before the 3rd exam: Zero... and that was the time when Kiba noticed that something was going on between them.
3rd exam: Fainting was once again caused by her fight with Neji, so Naruto can't be accounted as the reason here, another zero.
Tea scene: Well, after a translation check, that time she did face Naruto and fainted, first faint on the record.
282: That's the only time we see her fainting out of nervousism in front of Naruto, and second time to the present date, so we get a total of only 2 faints vs. 4 moments of interaction with no faints.
That quote comes from an analysis of NaruHina, the one in the link I posted earlier in the FC.