Losing pets is so hard. We lost both our dogs two years ago (one in August, one in March so her two year is actually coming up, who had had a few runs with cancer and finally had complications related to that) and I still feel so bad about it on occasion. Even though Bruno was almost 15 and couldn't even get up to go to the bathroom, at the end. (That part was just at the very end, it was pretty short and sudden.) They were both such good dogs.
Don't blame yourself for the biopsy. You didn't let her down. As a good owner who loved your dog and didn't want her life ending years short over something not terminal. I think dogs know when you're trying to do something to fix them up in the sense that they know you're distressed about their suffering and are trying to fix it.
tl;dr: in her own dog way, she knew you loved her and were thinking of her best interests. And if it had turned out to be something fix-able? You would have added years to her life. It's regrettable it didn't turn out to be an easy fix, but it's not regrettable that you loved her so much you were willing to exhaust that possibility first. So many (even those who can afford otherwise) put their animals down at the first sign of medical expense or inconvenience; it's always refreshing to hear of people who make sure that putting down is necessary first.
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Don't blame yourself for the biopsy. You didn't let her down. As a good owner who loved your dog and didn't want her life ending years short over something not terminal. I think dogs know when you're trying to do something to fix them up in the sense that they know you're distressed about their suffering and are trying to fix it.
tl;dr: in her own dog way, she knew you loved her and were thinking of her best interests. And if it had turned out to be something fix-able? You would have added years to her life. It's regrettable it didn't turn out to be an easy fix, but it's not regrettable that you loved her so much you were willing to exhaust that possibility first. So many (even those who can afford otherwise) put their animals down at the first sign of medical expense or inconvenience; it's always refreshing to hear of people who make sure that putting down is necessary first.