My question is why is he getting emails with no links to the site with just has the other woman's email and it's asking if he's the one that I hope to hear back from him but there is no site link it's just her email
That is certainly suspicious. I can't say for certain if it's spam. If you have learned more over time about the situation and would like to share with others, replying here to to the following discussion may help others with similar suspicions:
I just found my husband viewing "questionable" sites. Of course we fought. He told me that he receives "e mails from individuals" that send him videos of themselves. He showed an e mail from an individual that did this. How could this individual find out his e mail? could have chatted with...