Removed too much hide and neck seating

Hi. When trimming the hide around where the neck sits against the rim, I cut above the rectangular slot by accident. It didn’t sit evenly and wobbled. I decided to try and fix it by trimming more, and trimmed just far enough that the neck can sit flush against the maple rim wood on wood. Is this too much skin removed that it might lose tension or damage it? Luckily, I have another skin and can redo it if need be.