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I have just started using QGIS. I've loaded the "openlayers" plugin and added a google hybrid layer, which is based off the WGS84 datum to my understanding. Now I create a shapefile and add a new line vector layer based on the same datum. I draw a line and then zoom out. Now, the line has moved with regards to the google map (i'm drawing a road and now the road no longer lines up with the original road I'm using for a guide).

My end goal is to make a georeferenced shapefile with some roads. Is my methodology flawed or is their a problem with my plugin (assuming the former of course!)?

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Indeed, when you'll try to capture a vector data (no mater it's a point, a line or a polygon), using the Google Satelite map as the background layer, you will notice unpleasant displacements at different zoom levels:

enter image description here

But the beauty of the OpenLayers plugin is due to the fact it loads a lot of other useful maps to do your job. I recommend you to use the Bing Road map (the line keeps its position when changing the zoom level):

enter image description here

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    It should also be noted that this is against the Google's terms of services for using their base layers as far as I am aware.
    – Nathan W
    Feb 22 '14 at 8:11

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