Meh, this one is close because it's not clear if you're going to get called by worse and or if you'll fold better. But that doesn't mean you should never bet - you can still bet in situations like this if your opponent has a non-zero amount of equity in the pot, in order to "protect"/extract value/collect dead money. So is this one of those situations?
Let's think about what hands he could have in his range. He could have any pocket pair that's not already a set - if that's the case, he has 2 outs. What about a hand like KJ or QT? They both have 3 outs, plus a tiny bet more equity from running straight cards. Otherwise, random Kx or Qx have exactly 3 outs. 9x or 7x have 5 outs each. He could have some type of gutshot like JT which has 4 outs. If he has exactly KQ then he has 6 outs, which hits a quarter of the time. T8 would normally give him 8 outs which would give him about 2:1 equity, but we're holding 2 of his outs, so that drops to 3:1, same as if he had KQ.
So really, none of those hands are going to catch up that easily, especially not on just this next street. Looking at just the turn, assuming I'm not leaving anything out, in the worst case scenario the villain is going to catch up ~13% of the time. For that reason I'd say it's not really worth betting, cause you're not really afraid of what's going to hit the turn. That probably makes it a check.