Shouldn't be a problem. It's a moisture barrier, but unless you're in constant torrential downpours in the tropics, you'll be fine. I would imagine it's there to protect the fiberboard door panel from too much exposure to moisture.

Go to a hobby store and get a spray can of repositionable adhesive. Works great!

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mjk

'84 300SD 119KMi (Liesl der Diesel)
'84 300D 326KMi when the oil left (former parts car)
'82 300SD 253KMi (new parts car)