There are basically 3 options if your cat is too low to shoot.
1. Stall. Don't feed, don't shoot any insulin, test again in 20-30 minutes to see if the number is rising or falling. Post here for help.
2. Skip. Expect to see higher numbers in the next cycle, as the insulin depot will have drained a bit.
3. Reduce to a token dose, like half the normal amount.
Which of these 3 choices you pick depends on a lot of factors, such as how much test data you have on your cat, what your schedule is like, will you be around to monitor in case your cat drops below 50, do you have your hypo toolkit ready and waiting?
Cuddles went from 85 to 115 in 4.5 hours, but that was with some food on board. With the limited amount of test data that you have, I think you made a good decision to skip the shot. I would not reduce in the next cycle, IMHO. With the skipped shot, the depot will drain a bit and you need to refill that depot. Of course, your cat may have other ideas, and give you more really low numbers in the next cycle.
You might want to read
this post, from over in the Lantus TR forum, on Shooting and Handling Low Numbers and being data ready. One test that would really help you out, is to get a regular "one last test before you head off to sleep" test. Many cats drop lower at night so this night test can provide us with some very useful data.