When you say you have just started, do you mean you have started today?
The reason I ask is our bodies get a little upset when we insert something and takes a while to get used to it. For some people, this is just a few hours and for others this could be about 24 hours. As a result of this "distress" around the sensor, when first inserted, the results are not very reliable.
Once the results have settled down, you are likely to continue to see a variation compared to your finger prick. As you say, this is partially related to the delay but also because it is using a different method for calculation and it is calibrated in the factory ... so not to your body.
For this reason, a finger prick is the most accurate reading and is the only reading accepted by the DVLA and recommended by many healthcare professionals for calculating insulin doses.
However, this is not to downplay the value of the Libre (and other CGMs). The biggest value from the Libre is the history and the trends. I liken using a Libre just to replace finger pricks to using a smart phone to just make phone calls.
I sometime blog for Diabetes UK. When the announcement was made about the Libre, they asked me to write a post about it. I tried to explain the points above (and a bit more) in this
post.