complained when actor Robert DeNiro dated, married and had children with black women. Actor Sean Penn, after his divorce from Madonna, dated a black woman(it was brief but it caused quite a stir). Again, nobody complained. My cousin on my father's side of the family is married to a white man. I'm not complaining and so far, none of my relatives are complaining, either.
But, if a BM(celebrity or not) was seen with a WW, you can bet there will be stares and whispered comments. And if they are bold enough, some man or woman would voice their opinion because they were shocked by what they saw and it challenged their world view. I remember I had drove a woman her daughter and her boyfriend to a hospital in another town. When the young mother was called in to see the doctor, she and her boyfriend went in, leaving me to look after her daughter. I did everything I could to keep her entertain(like using my hat as a toy, or my car keys). Everyone in the waiting room(all white) watched me and my handling of the little girl's care. After a while, a man came over and sat down with us and said hello. I explained that I was looking after the little girl for her mother. The man said that he was curious and that he understood that me and the little girl got along fine. But he used "we" in that sentence. I wasn't sure if he meant him and his wife or the collective view of the other people in the waiting room. It felt very awkward. But, the little girl and I waited until her mother and boyfriend were finished with the doctor. No problems that day, thank God.
I don't like using celebs for examples but it is incorrect to state that WM who are celebs do not face a backlash for dating/LTR/marriage to BW.
Michael Fassbender received backlash from some white female fans when he stated in a few interview that he prefers darker skinned women. His fans created a tumblr page called "Gorilla Hunter" when he was dating black actress Nicole Beharie and have made derogatory remarks regarding his preference for BW.
Chris Noth (Big from Sex in the City) has stated in interviews that he received hate mail from some fans when he married and had a child with his wife (black/Asian). Tamera Mowry (one of the twins of Sister, Sister) has revealed in a recent interview how she has received backlash (called white man's whore among other things) for being married to a WM.
WM/BW interracial couples have also been subjected to threats, physical attacks and even murder. The murder of the Marine sergeant and the rape/murder of his wife was determined to be racially motivated. WM/BW couple and their friend was physically assaulted in Long Island City. A WM was attacked and severely beaten in Savannah, GA for dating a black girl.