Hi Nora,
I'm from the Levemir insulin support group section of FDMB. I'm sorry none of us were online overnight or earlier to see your post. You got some great help though and I'm pretty confident things were fine for Blaki. Levemir is a wonderful insulin and rarely causes life-threatening hypo unless there's a large overdose. 59 is not life-threatening on Levemir for cats when tested on human meters.
First of all, welcome to the vampire club! It sounds like you need the most help with home-testing tips. Home-testing is pretty essential with Levemir, as you can see, even 1U may be too high of a beginning dose.
My tips for home-testing are to acclimate Blaki to the lancet device. Show it to her, let her smell it, click it beside her ears without sticking her as often as possible. She may get frightened at first, but the idea is to get her used to the sound, as some cats respond negatively more to the sudden click than the actual stick.
You can also use the lancet itself freehand, if it's a needle in a little tube. That way is easier for some of us who need to see what we are doing, because the device is so fast it's hard to see where it actually goes in. Here's a picture of where you want to stick
http://i5.photobucket.com/albums/y161/FindingNeo/sweetspot.jpg That wonderful illustration was done by a Levemir user, Sheila, Beau & Jeddie.
As has been mentioned, warming the ear first is essential for success in the beginning weeks. Sitting on the floor the way you're doing works well for some cats, but others may feel too confined. Sometimes the key to successful home-testing is finding out which kind of cat yours is - confined or not. If not, I recommend using a table or sink counter, so that you're both more comfortable, but some cats won't sit or stand still so you have to confine them. You can also wrap her in a towel, called a kitty burrito, but that's a last resort.
Treats are also essential - freeze dried meats work well and can be found at most pet stores. We don't recommend treats like Temptations because they are loaded with carbs.
As for using Levemir, please see the stickies in the Levemir and Lantus TR ISGs for important points, if you have not read them already. They are called "stickies" and are above the member posts in each ISG.
As mentioned, Levemir is a late peaking insulin. +9 is typical. But that's what makes it such a good insulin. It works by maintaining a depot or "shed" that it draws upon throughout a cycle. You can read about the differences between Lantus & Levemir here, which explains the process biologically
http://www.diabeteshealth.com/read/2007/07/17/5316/lantus-and-levemir--whats-the-difference/
So you have to fill the shed first. The 1U you gave obviously did that quickly. Since Blaki is newly diagnosed, she has a very good chance of going off the juice, as we call it - OTJ, especially since you changed her diet to low carb. I recommend giving her only .5U, get her and yourself used to home-testing and then we can work on regulation for her and possibly OTJ.
If I may ask, how did you determine you wanted to use Levemir? I am interested in furthering its use in cats and just wondering because I didn't see any discussion in your threads here about Levemir. It's a much better choice than N, for sure!
Any other questions or things you need help with, let us know. And you're welcome to post in Levemir ISG for further help with it.