I wonder if she encourages you to come work in her company because she knows you are very unhappy in your job. At least that what you post on this forum

I understand her not wanting to recommend someone she doesn’t know. One Skype session wouldn’t be enough for me to recommend people. But I’d be direct “I cannot recommend someone I don’t know”. But then I am known to be direct. Not everyone is. Your cousin clearly isn’t a direct person

Is there any reason your SO cannot find his own job or internship?