Perhaps he teases the main character who is full of Christmas cheer. He could make fun of their belief in Santa or the magic of Christmas. For example, if the main character is a young child who is excited about leaving cookies for Santa, the bully might say that Santa isn't real and laugh at the child. This would be his way of spoiling the Christmas mood for others. He might also try to prevent others from participating in Christmas activities like caroling or decorating the Christmas tree.
He might steal Christmas presents from other characters. Just like some bullies do in stories, they take things that belong to others to be mean.
The little tough bully, like Scut Farkus, often picks on other kids. He might push them around, steal their things or just make mean remarks to them.
In the Christmas story 'A Christmas Carol', Scrooge could be considered a bit of a tough bully at the start. He was mean to his clerk Bob Cratchit, not giving him enough coal to keep warm and begrudging him Christmas day off.
In 'A Christmas Story', Scut Farkus is often considered the little tough bully. He's always picking on Ralphie and his friends, with his menacing looks and mean behavior, like when he threatens them near the schoolyard fence.
The little bully in 'A Christmas Story', Scut Farkus, often picks on Ralphie and other kids. He intimidates them with his mean looks and actions.
The 'little bully' Scut Farkus often picks on Ralphie and his friends, like pushing them around and being generally mean.
The bully, Scut Farkus, picks on other kids.
In the 'Christmas story' in question, the bully might be excluding other children from Christmas activities. For instance, if there is a Christmas play or a group caroling, the bully could prevent some kids from participating. They could spread rumors about the other children, saying things like they don't deserve nice Christmas presents. This would create a sad and tense atmosphere during the otherwise joyous Christmas time.
The bully might steal presents. Just like in some stories where there is a greedy character who doesn't want others to have a good Christmas and so takes away the gifts meant for the poor or the children.
If we take Scrooge as an example, he withholds kindness. He refuses to give to charity, doesn't allow Bob Cratchit to have a proper Christmas break, and generally spreads gloom during the festive season.
If we take Scrooge as an example, he withholds warmth and kindness. He refuses to give Bob Cratchit a proper wage and is stingy about Christmas celebrations.