Sometimes taking one bar in isolation isn't enough to decide what the time signature is (or should be - take 'America').
However, as a basic premise, the fundamental difference is the feel. 6/8 is duple time, so can be counted both as a six time, or a slower two. And will be written as such, to help the reader. So, the bar can be seen to be split into two equal halves, each containing three quavers. 3/4 time will be written in values equal to three separate parts - three crotchets, so there won't be a sectioning into two halves.
Since this example is obviously split into three separate crotchet parts, so to speak, then it will come under the 3/4 time signature 'ruling' rather than 6/8, which it certainly doesn't align to.