I registered two domain names with Bluehost. I added Domain

I registered two domain names with Bluehost. I added Domain Privacy when I bought them. Despite this, these two domain names and my full details appear on another website (www.domainbigdata.com). I have contacted Bluehost on numerous occasions about this but they will not rectify this problem. One person at Bluehost suggested that the website could have obtained my details in the few seconds between me registering the domain names and purchasing domain privacy for them. Is this possible? Can anyone suggest what I could do about this? I have contacted Domainbigdata also, and they will not remove the names despite there being domain privacy on them. If anyone can offer me any guidance on this, it would be much appreciated. Sim