LOL they all have a husband mate, or a ****-buddy or whatever. If she is a good looking cougar enough for a young guy to want her than you are not the first.
BUT!
I'd say that 90% of the guys hitting on her are shaky voice nervous guys, too sweet or too macho and tries to squat 850 lbs when they only can do 400 lbs with the fail excuse
"damn bro, i pulled a hamstring from low carb instake or i'd get that shit easy!"

Never be nervous! She want a confident guy not a virgin (do not take that literally). If you are nervous than don't show it or confidently tell her that she makes you nervous with a smile.
Don't talk too much and keep eye contact in a non-freaky way. Back straight and humor. Charming but not too much compliments, just enough.
Oh! And give her some funny negative feedback too, not insulting, just to make her smirk at you.
And time, not everything in one day. Let her remember you when she goes home.

It's an art! I've failed and succeeded equally. But you gotta know, nothing is better than a horny cougar in bed that hasn't gotten laid in a while! Also most caring and understanding after.
The feeling bullshit is long gone, you can have genuinely fun with them!

I am currently on the hunt as well! She is a 38 year old. GOD DAMN shes sexy! Issue is that my X been showing up at gym.. so well... i'd say i'm ****ed! But hell i'm not giving up!

EDIT: Never text man! Always get it in somehow eye to eye. She can't read your motives/ feelings/ anything in a text.