Can a man close to 60 who went to the Philippines and married a 20 year old less than a month ago have the marriage annulled after she had him arrested and thrown out of the house?

It would likely be supported in court, You could show that it appears her intent for the marriage, was simply to gain access to a greencard/future citizenship. You know, the mail order bride thing. Provided of course that you have not committed a crime in which she is the victim, then it might look like you are trying to get her out of the country to remove her as a witness. "Just my opinion, I could be wrong"