Hi Max
Welcome to the forums and good on you for posting too!
Firstly if I can thank you for having the caring heart to post here. Ive had chronic anxiety for many years and it is a dark place to be in and understand where you are coming from.
The best tip I can provide now is to scroll down this page and under 'The Facts' you will find the Anxiety/Depression check list that you can have a look at to get a a rough idea of whats happening.
Saying you need help is very strong as many guys will sweep it under a rug and think they can deal with it...it rarely works.
The other important info is to have a look at Supporting someone with anxiety/depression...(link below for you)
www.beyondblue.org.au/the-facts/supporting-someone/supporting-someone-with-depression-or-anxiety
I have a family member that has similar issues that you have mentioned as per your wife's situation. I have been on here since Jan 2016 and cannot get her to see anyone with her anxiety either. Ive had to back away as I cant help her.....even as a volunteer on Beyond Blue
Anxiety disorder can take a long time to heal especially if the person refuses any help or seeing their GP to start the recovery process.
In the meantime Max.....your health is paramount as caring for someone with anxiety can be a huge drain on you..your well being and even your work.
Can you offer to go with your wife to a GP for a visit to discuss the issues? (The best course of action)
Can I ask you Max if your wife has been diagnosed with anxiety?
If she has been diagnosed....just keep giving her all the space she needs.....Your approach is spot on Max. Even if you see your GP and have a chat about whats happening it will be invaluable where your own health is concerned
There are many gentle people on the forums that can be here for you Max. If you any questions I really hope you can post back and ask us :-)
The forums are a judgement free zone Max. They are also a safe place for you to say what you wish too!
my best for you
Paul