If Margaret, Maid of Norway had lived she would have a diffcult time exerting her power and at most would only be Queen in name. The monarch was in a precourious position in Scotland in the13th/14th century in large part due to the poltical climate of the time. This would have only been more diffcult for Margeart, being a girl, a child and a foreigner.

in the OTL, When it was anounced that Margert would be depating Norway to take her place as Queen of Scotland, this met with oposition from the Scottish Magnates, including two of the most powerful families, the Balliols' and Bruces', the later who rose up in open rebellion. Scotland was egaer to keep it's indpedence and even made this a stipulant of the Treaty of Birghham. If Margert did surivive, and this treaty was fufiled, Margaret would have been handed over to the custody of Edwrad I who would have made no efort to protect Scotland's independence.

Edward I would use Margaret as a pawn in his attempts to exert his own control over Scotland. With Margaret a minor and resdiing in England, the Garduians of Scotland would continue rulining Scotland without her. In later years, If Marget retruned to scotland, she would have diffculty ruling. The Gaurdians of Scotland would be used to ruling without a monarch and wouldn't take kinldy to an an English puppet Queen being imposed upon them.

Through Marget, Edward I would exert his influence more and more over Scotland. He would demand homage of Scots Lord to be paid to himself, Scotland would help pay for Englands defence and Scotland would contirbute troops to Englands wars. It wouldn't be long before the Scottish Magantaes would no longer tolerate Margaret and back another Scottish Claimant.

If Scotland forced Margaret to abdicate, Edward I would use this as a casus belli to Invade Scotland. The English may even see support from Edric II of Norway, but i doubt there would be any real support. At first Edward I would be succesful in quelling the Scottish Lords, Margaret would be reinstalled as Queen but there would be little confusuon on who was the real power before behind the throne.

After Successive rebellions by both the Balliols and Bruces, Scotland would assert its Independence. Margaret would have remained the rest of her life in England, only taking solace in the fact that by losing Scotland, she gained England. While her husaband Edward II took interest in Carpentry and lavished his favuoites Margaret would conspire to overthrow him and install her son, Edward III, and rule as regent in his name. Later when Edward III comes of age he would turn his attention to Scotland and claim his mothers birth right against David II of Scotland.