The following informations are obtained from the book called Dharma Bindu(which is the essence or Sara of all Dharma Shastras) regarding the importance of Turmeric(Haridra/Haldi) in a married Hindu woman's life:
Vyasa Maharshi gave the instructions as follows:
Haridraamkumkumamchaiva sindhuram kajjalam tathaa, Kurpaanakam cha taambolam mangalaabharanam shubham/ Kesha samskaara kabari kara
karnaad bhushanam, Bhartur aayushyami -cchanti dooshayenna Pativrataa/
Praatah kaaletu yaa naari dadyaadarghyam vivasvate, Sapta janmaani
vaidhavyaam saa naari naiva pashyati
Those women who are interested in the longevity of their husbands
should not to ignore the high significance of turmeric powder,
kumkuma, eyetex, vastra, jewellery like ear studs, bangles, necklaces
etc. As at the early mornings, women offering Arghya or water for
worshipping Surya Deva would aviod widow hood for seven births ahead!

So,the importance of Turmeric(in a married HIndu lady's life) is indeed mentioned in Hindu scriptures.