Hi - which diabetes website says you should be below 5.6 before eating? That's new to me. can I just check - you don't have diabetes?
The idea about testing is to take a baseline reading before you eat, and then one two hours later. If your insulin response system deals with the carbs (if any) in what you eat, you should return to within two points of the baseline reading (and not above 8) at the two hour mark. If you don't, there were more carbs in what you ate than your system could effectively handle.
You also need to bear in mind that glucometers have a permitted inaccuracy of 15% - so a "true value" of 5.0 could show as anything from 4.3 to 5.8.
And blood glucose is not only affected by what you eat. It's perfectly normal for BG levels to vary, rising and falling throughout the day. Our livers are constantly adjusting blood glucose levels in response to what they think we currently need. Morning fasted readings are usually entirely controlled by liver activity rather than food. My morning level will go on rising slowly until I eat something, which seems to satisfy my liver. I'm not surprised you're finding it difficult to manage if you're waiting for levels to fall - your liver will be busy topping up your BG all that time.
People also report many things affecting bg levels - illnesses, ambient temperature etc. Link has more:
https://diatribe.org/diabetes-management/42-factors-affect-blood-glucose-surprising-update
So to answer your question: if I wanted/needed to eat, the baseline level wouldn't put me off. If I was seeing a level around 10 two hours later, I wouldn't be eating that meal again.