Such a connection, if it manages to endure, despite all the differences, would look something like this - the 2 lovers would rarely be home at the same time, their activities of fun never overlap and they would prefer to lead different ways of life, to have their own cliques, while remaining together at the same time.
At first glance it sounds strange and even impossible - to be with someone, but to actually not be. However, such an arrangement would suit both of them. Aquarius loves to be with friends, but can decide at any moment that he's had enough, so he gets up and leaves - just like that.
Whereas the Gemini woman prefers to be fashionably late to her friends' party, to arrive and then put an end to it. She wouldn't leave in the middle of the fun, that might cause her to miss something interesting.
Intimately, both signs fit well together, but again, as with their friends and parties, they don't always want the same thing at the same time.
It is not a bad idea for the Gemini woman and Aquarius man to set aside their own space, where they can do whatever they want, without feeling guilty that they are excluding the other person.
This way, their relations can remain intact longer. In their personal time, they do whatever they want (meaning without any extremes or attempts to hurt their partner), and when they are together, they spend their time wonderfully.
Each relationship is its own. Zodiac signs have their significance, sometimes less, sometimes more, but as a whole, everything depends on the people in the relationship, on their will to deal with the obstacles and on the love, which they feel toward each other.
And even though the relationship between a Gemini woman and Aquarius man might seem fairly difficult and even impossible, if they both build their own world and learn to tolerate the strange wishes of the other, things may work out.