Try not to be so hard on yourself, or think that you hurt her. She did respond kindly and clearly, so at least you got a response. No response is much worse
Everyone has probably done the text in time of weakness or drunk dialing

it happens.
Moving on is really hard, especially sensitive people like us. But you could look at it as new information. Reconciliation is not going to happen. So if you're out of denial stage, do the mourning stage, then it can only get better from there.
I look back on the handful of men I loved & thought we'd be together for ever. Even though the ending hurt so bad, and it's hard no matter who chose the ending, we always seem to fall in love again. And the new love is even stronger than the last. Do the mourning you need to process it all, but look forward too, you still have the future ahead of you.
Keep at those hobbies & distractions & you'll get there.