It looked an innocous incident, though Artell's reaction led to the homegrown forward being shown the red card.
This means that the ban will kick-in for Saturday's trip to Shrewsbury Town, with the 21-year-old also missing the matches against Rushden & Diamonds and second-placed Grimsby Town.
The news will come as a major blow to Scoffham, who has bounced-back from a twice-broken leg in the past year to firmly establish himself in Thordarson's plans this season.
The striker has started all eight of Notts' league games this season, scoring once in the 2-1 victory over Lincoln City.
His absence means either Gavin Gordon or Andy White are likely to get the nod to partner Glynn Hurst for next weekend's trip to Gay Meadow.