Will a blown Intake manifold gasket cause water in oil

What is your question?

I was driving down the road and vehicle acted like it was running out of gas and temp light showed overheating then stalled. I coasted into parking lot n parked. I popped the hood n checked reservoir. Not empty, and wasn't boiling. I could grab the radiator hose n took the radiator cap loose n it was low on coolant but didn't spew out. I checked oil level n it was vanilla milkshake color. Since it didn't run hot n there is oil in the radiator Im not sure it blew a head gasket n was told a blown Intake gasket could be the problem.

What makes this problem better or worse?

Nothing

How long has your 2002 Buick Rendezvous had this problem?

Happened a week ago