Usually, to be knocked out of ketosis, you need around 60g or carbs or more. So if you are only eating protein and fat, and having a teaspoon of Honey, you won't be kicked out of ketosis.
Using the data provided here, one tablespoon (28g) has 17g of carbs. So you could actually sweeten your coffee with a tablespoon, if you wanted. I'm keto, and I often eat spinach and cream together seasoned with some pepper, tastes kinda good, and I'm getting some greens in my diet. You might want to try to add some broccoli, lettuce, or other very low carb vegetables. Or not, whatever works for you.
Another thing, is that if you are inducing ketosis, as in transitioning from a carb-containing diet, the honey might keep you from entering it.
Also, as ben61820 mentioned, a high protein intake can actually prevent you from being in ketosis, due to the body using the high supply of amino acids from the proteins for gluconeogenesis.A high amount would be 1.5x(Body weight in pounds). I was eating upwards of 300g per day (I'm 210 lbs), and I noticed when I brought my protein down to around 200g a day, and my fats up to roughly 190g, I felt a lot better, and I started testing more positive for ketosis (I'm using Ketostix, they test for ketone concentration in urine).
Moral of the Story: They honey is fine. If you're not in ketosis, then you might have to adjust your macros.