I faced the same dilemma. Ultimately I stopped using T:ANE so took the whole thing onto a separate hard drive off the pc thus freeing up space. It did not affect TRS19 one bit. This assumes of course that both 19 and TANE are using separate folders. Personally I would not delete, but move to somewhere off the comp like a usb stick or something, you never know if in the future you will go back to it. After moving TANE run it from the new location, if it runs ok then you can feel safe in removing it from your pc. Would always recommend running a db repair afterwards.
Some here may suggest other ways to accommodate your question, I am no expert n these matters.