This influence could end up undermining the stability and comfort of your connection, because it demands freedom and independence. How well things go between you depends on how easy or difficult it is for you to give each other that freedom. If either of you tends toward possessive or controlling behavior in personal relationships, be advised that that won't go over well in this one at all.
In general, you may not be able to establish much of a commitment together -- at least, not a traditional one. If this relationship is going to work, you're both going to have to be very creative and open-minded, and let things follow their own natural course rather than trying to impose your own needs and expectations upon each other. However things end up between you, there will be a strong emphasis on establishing your connection in new, unique and unexpected ways, which could be interesting and exciting, or it could be upsetting and frustrating. It all depends on what kind of people you are as individuals and what you each want to get out of this relationship. One thing is certain: Making this work long-term will require a lot of openness and patience from you both.