There is no definite answer to this. It depends which figure the guy wants to start with.
Natural (right turn) figures start with the right fooot and reverse (left turn) figures start with the left. It's most common to start a tango with a walk on the left foot.
Cha cha and rumba basics start with the left foot, samba could be either, jive is usually left foot and paso generally has a right foot Appel.
Many teachers think it is easier for beginners if every dance starts with the left foot, so they add an extra step if necessary, such as a walk before a slow foxtrot feather step. Personally I think it just complicates matters when beginners progress to more complicated routines.
I generally start with a reverse figure, and hence my left foot, because that way I am facing into the room and can see where the other dancers are. I hate it when somebody walks onto the floor, turns their back on me and all the other dancers, and counts the music for a few bars while waiting to start with a natural turn.
The best answer I could give is not to start with either foot, but with your body. If you move you body weight onto the foot you will not be moving, and your partner moves with you, then there is no way that she can go wrong.