In general speaking, Aries and Cancer are incompatible since fire and water don't mix well. However, this is just based on astrological law and there is no reason why a strong and passionate person won't get along with a home loving person. In reality, Aries and Cancer combination will maintain balance between the family life and social life. Looking at your chart, your Sagittarius Moon gets well with his Sun, Moon and Rising. Remember that woman's personal trait will be based on the Moon more than the Sun. Therefore, just work hard and focus on the truth.
Accordingly, Aries admire someone who is athletic (although depending on who).
Instead of looking at the birth chart, try some compatibility based on birthdays, which is more specific and accurate:
Famous couple Gisele Bundchen and Tom Brady are well suited but not astrologically;
Sun in Cancer
Moon in Scorpio
Sun in Leo
Moon in Aries
It could work. Aries are more caring than you think which is why you can get along. Also your moon signs Aquarius and Sagittarius share a spiritual understanding of each other. Rising signs don't really matter if you get to know each other properly because they are just the face u put on the outside. You may get hurt by some of aries remarks though, they are teasers and you are a sensitive cancerian.
Moon sign is match but sun sign is not match and consider colling sign . other then write birth details