Aside from the ridiculous outfit and trashy pose sent to a man that she's never even met, believe it or not her face may not be as busted IRL as in the pic. It might just be the angle of the shot. If she raised her head a bit then her chin would not disappear.
Are there any other pics of her face? Maybe she chose that pic because in her mind the background and outfit make her look *sexy*.
As for the rest,
36 never married, engaged couple times but "too independent to be married"? screams "something ain't right". About the "can't have kids" thing... the combination is odd. Maybe she IS transgendered.
If your conversations w/her have been enjoyable and don't seem off to you, then why not meet her for a cup of coffee? You will invest an hour of your time and spend like 10 bucks? If you like her then make plans to go out for real, if not, then who cares?