I'm sorry about your loss! I hope your new kitty will fit in and Skittles will learn to love her too!
Lila looks very beautiful and like she is indeed a siamese mix. I understand that it is now possible to dna a kitty to determine what breeds they are. I've no idea of the cost or where you would get it done, but does it really matter? If you connect with her and she with you, that is really all that counts. I think I would fall in love with her on sight! Good luck!!