You will get loads of support here I am sure. I have no personal/relationship experience of Asg but have worked with children and teenagers with it.
I would however caution you against a label. Even with 20+ years experience working with the above, I would hesitate to put a label on an adult.
Many men have not learned how to talk or empathise- all of which can be signs of Asp but can also be just men, or a personality trait- so be careful.
She is slightly wrong on one thing- Aspergers is high level functioning autism- so she is slightly out on her definition.
There is a very good online aspergers test which you can access- it's devised by cambridge uni or experts.
Basically people with aspergers don't read signs of non verbal communication- body language, facial gestures and nuances of language. They can also take language very literally.
eg if you said to an aspie child "He put his foot in it" ( meaning made a tactless comment) he might think you meant that literally.
re. your DH, I'd suggest he gets help from one of the organisations that help adults with the condition- he has to learn how to "read" people, pick up non-verbal clues, and learn how to empathise. whereas we would pick up signals people with aspie have to be trained to recognise signs, and respond.
I would though really caution you against putting the label on him after 3 counselling sessions. He could simply be a man who finds it hard to empathise or express emotion verbally.