The phrase "a bit bothered by" is correct and usable in written English.
It can be used to express a mild level of discomfort or annoyance regarding a situation or behavior.
Example: "I was a bit bothered by the noise coming from the construction site next door."
Alternatives: "slightly annoyed by" or "somewhat troubled by".
Even I was a bit bothered by the swearing.
"Oh, we're just used to it," said George McGuire, 41, a lawyer, who did not seem a bit bothered by the mound of snow at his side: it stood about 6 feet high and 10 feet wide, right in the middle of downtown.
But I can't help being a bit bothered by the constant infidelity weaved through nearly every plot and the lack of discussion surrounding the topic of cheating.
As I grew up and went into ministry I got a bit bothered by the purée of Gospel that is the typical church nativity play.
Cafiero said he considered resigning from the board and threatened to withhold his financial contributions because he doesn't want to fund what he calls "childish antics". Bruce Degen, a 1966 graduate of the art school, was a bit bothered by Cafiero's email.
The secretary was a bit bothered by that.
But he can't help, he says, being a little bit bothered by these games.
Like many people, especially black people, I am more than a little bit bothered by Mel Gibson's latest rant, but my vexation comes from different perspectives.
For the second straight game, he seemed a bit bothered afterwards by his lack of involvement in the offense.
At a recent show in Vancouver, while playing a DJ set for a rowdy crowd, Davids and Ivory didn't seem the slightest bit bothered by a group of drunk females on stage flailing around their equipment.
Neither he nor Gearhart, who turned 12 in May, seemed the tiniest bit bothered by the presence on a nearby set of a perfect facsimile of the boy's headless body, artfully arranged against a blood-spattered living-room wall.
