Yes it does Cubagirl. Daughter is lactose intolerant so if we want her to eat the same as we do then I have to substitute. I used natural soy yogurt with the juice of one lemon. A little bit of grated fresh ginger, a small...very small amount of garlic, a half teaspoon of paprika, a little cayenne pepper and some ground cumin. Salt and pepper. Cube the chicken and marinade either overnight or most of the day. Thread onto skewers with cubed pepper and onion, then either grill under a medium heat or BBQ. I served with a Greek salad and either pitta or wraps. It's really nice. Not too spicy but just nice and the chicken remains juicy because of the marinade.
I know you are dairy intolerant so that would suit just fine.
I hate having to cook something different for my daughter down to her lactose intolerance so I try all sorts of different things and with herbs and spices it suits all of us and she doesn't feel left out.
When she does get left out is when she decides that she won't eat red meat...then I use the substitute for that and just make a small amount for her. She is an on again off again vegetarian/peskitarian that occasionally can't resist a bacon roll
Oh and son did bring his washing
Mrs Brown