String jump can be an issue depending on the conditions at the time of the shot. 25-35 yards is where it can be the worst, but even then, it is only a concern if you are shooting at an alert deer. Closer than that, with a 370 fps bolt, the won't have time to move far enough a bad miss by the time it gets to it. Farther than that, is beyond the "danger zone" where a deer will react to the sound of the crossbow releasing it's energy.
In general, a crossbow is far less likely to cause a deer to go on high alert, because no sudden fast movement is required when the deer is in close, as it would be to draw a conventional bow. I struggled with that a bit using my vertical bow, catching (3) deer in the shoulder blade when they ducked, and another thru the neck That one was recovered, because the broadhead sliced the jugular vein, and chances are that the (3) shoulder blade hits fully recovered. I know one did because a friend took it a month later with a rifle and the wound was healed except for a nice scar.
The first deer I killed with my 300 fps crossbow was 59 yards out at the shot. I slightly misjudged the range, which turned out to be a good thing. That is well beyond "the danger zone". Because of that, the deer did not duck, but the arrow struck about 8" lower than I intended, thinking it was only 50 yards out. The penetration was poor at that range (only 8" into the deer). Fortunately, that was enough to get it all the way thru the buck's heart. Had it struck center-lung where I had intended, it likely would have only penetrated a single lung, making for a much tougher recovery.
Last year I killed my largest antlered buck with that same crossbow, with a center-lung broadside shot at 25 yards. That one had seen me up in my stand before I saw him from 70 yards away, and had locked eye-contact with me. My head and shoulders were fully exposed above the three foot wall around my blind. I stayed motionless until he lowered his head and began to move closer. In "super-slow" motion, I was able to get my eye in line with the scope. At 25 yards, all I had to move was my trigger finger as his shoulder moved past the crosshairs. Had I been armed with a vertical bow, and needed to draw, he would be a fine 4.5 year old this fall, rather than the tasty 3.5 that we are almost thru eating.