Strategically that's not a bad trade
How fast was she moving? Could you have waited until she was in deep water?
I had a similar situation in 1939 where this task force of 2 light cruisers and 4 destroyers past over my type II with no escape I dived to the bottom which was 40 meters pointed my sub in their direction and cut my engines. Took an hour before they were well aft of me and I made a bee line for deeper waters. I think the 9 wind speed and my small presenting shape helped me avoid detection.
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