Alana doesn’t feel guilty for telling Gideon he’s the Chesapeake Ripper. It’s the opposite. By informing him that he could have been manipulated into believing that it helped set him on the path to seeking revenge against his psychiatrists.
Another thing to keep in mind about Hannibal sending Gideon to Alana is that she had an armed FBI agent at her house. That being said, he does seem willing to risk the lives of even people he cares about.