If the embroidered pattern is biased, the size may be reduced when it comes out, and the whole may not look good as before.
If the embroidered cloth is crooked, I don't know, because it is unlikely to be crooked unless the quality is not good.
Then try to pull the cloth in the other direction and see if you can adjust it. Then don't tighten when you embroider. Let the cloth drag freely. How to pinch when embroidering? Don't worry about fabric wrinkling. Don't stretch it too tightly when embroidering, just stick it on the cloth.