On my Xtype 2003 there's an intermittent gurgling" sound coming from the engine

What is your question?

Once I start my Xtype Jaguar, (after a lot of early morning attempts) there's an intermittent "gurgling" sound with, what sounds like a miss in the engine, that is emitted from the intake throats. It's like there's a choke-like flap somewhere in the engine, that has a broken spring & it's flapping loosely??? Can anyone help?

What makes this problem better or worse?

Mainly when the car is first started up

How long has your 2003 Jaguar X-Type had this problem?

Two weeks now