The Sun represents our core essence and inner drives/mechanism, (what we want) whereas the Moon is representative of our innermost emotional needs (what we need). They make up the basis of your individuality as they represent your conscious and subconscious forces at play.
The Rising is only important at a more superficial level as it represents the face you put forward at the first point of contact with others. Thus, it can be seen as a 'mask' and this may or may not resonate harmoniously with your true essence.
When looking from a love relationship's perspective, male and female energies contribute in a slightly different way. If you are a man, the Moon and Venus signs determine the type of women you are attracted to. On the other hand, if you are a woman, your Sun and Mars signs determine the kind of men you are attracted to.
I wouldn't say you are an enigma but your Sun, Moon and Rising signs do indicate some inherent conflict in terms of astrological aspect (the energies don't flow well or seem to pull you in opposite directions). However, one good thing I notice is that your are predominantly Water and Earth in makeup (a good combo), except for your Fiery Moon sign. This makes you a very loyal caring and attentive partner as water and earth is generally a good combination.
Also, the kind of partner you are attracted to / attract is consistent with the methods you use to attract them (both Venus & Mars in earth signs).This may not resonate so with your emoional needs though. You have to try to reconcile the different energies exerted by your Moon and Venus signs.