No, not doomed.....what you wrote in your post, is a great place to start with an apology. It is important to have good friends & yes, the email was negative about her children (you are entitled to your opinions), but it is important to also let them know the positives about their friendship & all they have done for you. If you don't dwell on all the negative & make sure they also know how much they mean to you.....it is important to communicate that also. I think the previous suggestions give you a great place to start, & go from there.

Like lilith said, don't beat up on yourself. You learned from this experience that it is possible to hurt people, but give it the positive try.....I'm sure that your friendship will come back to life.

Debbie