The emulated output on the Blackstar amp is a line-level unbalanced stereo output. That means the audio signal for the one channel is on the Tip, and the audio signal for the other channel is on the Ring of the TRS jack. (I assume the audio will be mono anyway, so the signal on both channels will be the same.)
The inputs on the Focusrite Scarlett 2i2 are balanced mono TRS jacks (if set to line-level, which is necessary for the amp output), which means that it expects the audio signal on the Tip and the inverted audio signal on the Ring of the TRS jack. If you connect the amp with a cable with TRS jacks, you get the same signal on both Tip and Ring, and when the signal on the Ring is inverted, they cancel each other out; that's why you're getting no signal.
There are a couple of ways to connect the amp to the Scarlett 2i2. First, you could use a mono cable. This should work, but may not give the lowest background noise. You could also use a Y-split cable, with a TRS on one end and two TS jacks on the other, and connect one or both inputs, which would be better. The best solution is probably to buy or make ana unbalanced-topseudo-balanced cable.