Good morning Terry,
The official recommendation for your Rover KV6 engine is 10W40 meeting specification ACEA A2 (you will find that they all exceed this now so there's no problem there). 5W40 is also shown as suitable for localities where winter temperatures below minus 30˚C are encountered but nothing thinner than that.
It will be beneficial to flush the hydraulic tappets (I've done it successfully). I'm not convinced by additives such as Wynn's to already contaminated oil so I use Comma
Flush Out which temporarily replaces the engine oil (at idle only) for the cleaning process. It is specifically designed for the purpose so is perfectly safe. If your mileage is high and the engine has had infrequent oil changes, you may need more than one session with
Flush Out.
I hope this is helpful and don't forget to let us know the result.
Simon