Why do I feel like something about the Anne Widdecombe murder doesn't add up?

I've been musing about this today -

1. She appeared perfectly well and was on TV three days ago. That's why I was shocked when they said she had died, then we find out it's murder.

2. The police quickly said it was a 'white-male' suspect - they arrest a guy, then release him without charge, and now they are saying they're conducting a 'manhunt' but give no details or description as to who they are looking for?

3. They said there was no reason to believe it was terrorism or politically motivated without explaining why. I mean how do you know it wasn't? If it were a political assassin wouldn't that be the point?

4. She had controversial views on everything - trans rights, lgbt rights, womens rights, religion, immigration, you name it.

5. She was a high-profile soft target - elderly, lived alone and was a well known spinster.

I'm not putting on my tin foil hat, but I have a deep feeling there is something not right about it.