I’ll Just Live on as a Villainess

A brief description of the manhwa I’ll Just Live on as a Villainess:

The main character is a villain, convicted of her atrocities. Exiled to distant lands to the north, she is forced to survive in harsh conditions.
At the risk of dying from the cold, the girl summons a demon to help her set fire to the damp firewood.
“You called me to just light the fire?”
– Yes, just do it quickly.

But the demon turned out to be an inexhaustible source of trouble.
“Since you called me, you must be held accountable”.
– Take responsibility? But why on earth?
– Lifetime contract with me.

The bickering romance between a big puppy demon and a small villainess lady!