I don't know why, but, I believe that Shamika did not know when Relisha was with Tatum. I do believe that she knew that her mom and sister let Relisha go out with Tatum. Given that, she would be telling the LITERAL truth when she says she never gave permission or let Tatum take Relisha. She relegated that responsibility to her mom & sister and by default she did let her go with Tatum. But, I'm not sure if she was ever present when Relisha left with him. I suspect that several times she found out after the fact.
So in essence, both statements are true:
She never let Tatum take Relisha.
When "she let" (by default because she left Relisha with MYT even after knowing Relisha was going with Tatum) Relisha go with him he always brought her back.
One other thing:
When the news first broke here in DC, I remember the press referring to MYT MANY TIMES as Relisha's mother. I also remember being extremely confused as to who was who in relation to Relisha, SY and MYT. I have even heard SY's grandma being referred to as Relisha's grandma. In the early days it was unclear, in the media, how anyone was related.
MYT, let Relisha stay with Tatum, IMO. I think the reason she called about the IPad is because Tatum had not returned Relisha and she was trying to figure out why. That's why, I believe MYT called to see if somehow Tatum had gotten permission from SY and for some reason MYT hadn't gotten the message. At that point, IMO, MYT has the "Oh Sh%t!" moment...or she wants us to believe that.
IMO, MYT & AY willingly let Tatum take Relisha and I believe they profited from it.
The raw outrage from Shamika re: her mother selling t-shirts was very compelling. She yelled, "who does that!!!"