If the tuner posts angle a bit from the string pull, it won't hurt anything. You do need to get those bushings secured, and it's about a 20-minute job becaue the superglue sets up immediately. It's probably not critical to do this week, but sooner is better than later.
"The best way to tell a lie is to tell the right amount of the truth, and then shut up." Robert A. Heinlein