I've been on plenty of dating sites and have had many conversations that I thought were leading somewhere only to stop getting responses. I must be doing something wrong somewhere.

We can't judge what you're doing wrong somewhere as we're not there and don't know.

Your profile... I'd go for a less lazy looking photo and one with a smile.
The part of "expect hard and difficult questions" would make me leave on the spot.

If a man can't be open to new experiences and isn't willing to take a risk -which is the only way to find love- then he's not for me.
I as a woman also have to take that risk, we all do.
I'm not interested in suspicion, awkwardness, nor do I need to be judged or questioned by some dude I don't even know yet.
Now you only just got out of marriage, maybe it is too early for you.

I'm not saying this to judge, but you want to know where it could go wrong, and I'm answering to what I see.

Lose this crap.
"I'm just coming out of a 13 year long marriage. Looking for someone who enjoys getting out and doing things. If we start talking be prepared for the hard and uncomfortable questions early on."

Try to write something more positive.

I was in no fit state to date for at least a year after my divorce m8.

2 years maybe.. Takes time to loose the cynicism about the opposite sex and see people as they are, on their own merits.

Unfortunately there is no quick fix. You just get happy again in time and attractive because of it.

The profile does seem a little confrontational.

Good luck.