Two people are paired up in this short poem, and the speaker seems unsure whether they truly fit. He sets his own coldness ("my ice") against her warmth ("her passion"), and his aching back against her stairs, as if even her house is a physical challenge for him. The word "wed" makes it sound like a marriage, but the comparison is to "a pair of dice," which suggests chance rather than careful choosing. Dice also come in matching pairs, so the title "Matched" works two ways: a good match, or just two things that happen to land side by side.
The last two lines shift to a quieter contrast. Her home is "a lesson in light," bright and open, while his mind is "heavy with arithmetic," weighed down by counting and calculating. Judging by these images, the speaker admires her ease but feels stuck in his own head. The mood is wistful and slightly self-mocking, caught between tenderness and doubt.