Yes, accept her suggestion

You signalled for your men to go to the inn. ​Meanwhile, you looked at the sturdy little cottage behind her, then back at Greta. The idea of the inn felt too public, too distant. You wanted to see the life she had built around the secret you left her.

​"The inn is for travelers and merchants," you said, your voice low and commanding. "I have spent enough nights in drafty halls and gilded suites. Tonight, I want to stay here, Greta. In your home."

Greta blinked, a flash of surprise crossing her face before turning into a challenge. "In a commoner's hut? It’s small, Milord. The bed is stuffed with straw, not down, and the fire pops. It’s hardly fit for a man of your stature."

​"It is fit for the father of that boy," you countered, stepping into her personal space. "I want to eat at your table and sleep in the bed where you raise my son. I want to see exactly what kind of life my bastard and his whore of a mother are living."

​Greta let out a soft, breathy laugh, reaching out to boldly trail her fingers over the fine leather of your doublet. "Always so demanding. Very well, Milord. If you can stomach the humble surroundings, I suppose I can manage to keep you warm. But be warned, without the inn's thick walls, you'll have to be the one muffled this time, lest the neighbors wonder why the the carpenter's wife scream so loudly in pleasure as her husband is away.

At last, evening comes

The small cottage is thick with the scent of dried herbs and woodsmoke, a stark contrast to the perfumed halls of the palace. Greta had tucked the boy into his small cot in the corner, As you stood by the hearth, the firelight cast long, flickering shadows across the room, catching the curve of Greta’s hips as she turns toward you, already removing her clothing.

The straw mattress creaks under your combined weight, a humble abode for the king who had returned to claim his hidden woman. You pinned her wrists above her head, looking down at the woman who had carried your secret. She arches her back, her breath hitching as your hands explores the body that had ripened since your last encounter, her skin flushes with the thrill of the ultimate betrayal to her husband.