If this is just the door spring, simply do not reassemble that part. It will still play without the gate. All VHS tapes are like that. The gate is there for outside-of-VCR protection, and is just in-the-way/extra parts inside the deck.
Hopefully you're using the CP7U-type Matshushita/JVC/Panasonic metal adapter working with VHS-C.
Today's high here is 60, a mere 45 right now. Though still cold to me.