Note that to delete a River Section node, you must first Add River Section to your network.
Note: this guide refers to the River Section node in particular, however the same method applies to all 1D river nodes.
On the map view, initially confirm you are in 1D River selection mode. Select the node(s) you would like to delete. You may find this page on Selecting Multiple Nodes helpful.
To delete the selected nodes, right-click on the map view and select Delete Nodes from the menu. Alternatively, right-click in the 1D River Network panel and select Delete Nodes from the menu.
Note There is no undo option for the delete operation other than unloading the river network without saving your changes (but all recent changes would then be lost).
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More about River Section Nodes