Your two moon signs form an angle of 90 degrees and are said to be in a Square aspect.
There may be many challenges in this relationship. A compromise is needed from one of you to overcome the bad feeling you may have on each other. You may share little understanding and opinion, your Moon signs indicate that you are not particularly well matched.
Sagittarius is typically a Moon sign of enthusiasm, friendliness and sociability that does not like being held down, while a Virgo Moon is very practical, modest, instinctive and usually quiet. The Virgo Moon would have to accept the charm and flightiness of the Sagittarius Moon for this relationsihp to be sucessful.