You misunderstand the region. Gaelic arrived in Scotland as a medieval import from Ireland, and it never extended far enough south to affect Scots overall. The

You misunderstand the region. Gaelic arrived in Scotland as a medieval import from Ireland, and it never extended far enough south to affect Scots overall. The literature on English historical linguistics emphasizes far more the impact of Old Norse on Scots, as the Scots-speaking region was Norse-ruled for some time.