The **non-acceptance of a penalty for driving under the influence** can lead to the **loss of points** on the driving license. This is because refusing to undergo tests to detect alcohol or drugs is considered a serious offense that results in the loss of **6 points** from the license. Additionally, driving with a blood alcohol level above the permitted limit also results in the loss of points, between **4 and 6 points**, depending on the severity. Therefore, not accepting the penalty implies consequences that directly affect the points system of the driving license.