The Empress card in the context of a relationship, especially from the "what's on her mind" position in a woman, can suggest that she thinks of her relationship in a very sensual, caring and loving way. The Empress is a symbol of fertility, care and abundance, so it can indicate that a woman feels deeply connected emotionally and wants to give and receive support and closeness.

In your decomposition, the presence of the Death card on both the man's and woman's sides, and as a joint card, may suggest upcoming important changes or transformation in the relationship. Death does not necessarily mean the end, but rather the possibility of the end of a phase and the beginning of something new. It can be a signal to think about what both partners want to change or improve in their relationship.

The Chariot and the World on the man's side can indicate strong energy and the pursuit of a goal, as well as a sense of fulfillment or a desire to close a cycle. This is contrasted with the Priestess, which focuses on intuition and inner thoughts.

A double Mage on the woman's side can indicate a great deal of initiative and willingness to act, as well as communication skills and creativity. All of this, combined with the Empress, may suggest that the woman has a strong vision of how she wants their relationship to develop, and the recurring Mage highlights her determination and willpower.

Considering the big picture, perhaps both partners are facing a challenge that requires them to be open to change and willing to work together. It is important to openly communicate your needs and concerns, which can help transform the relationship for the better.