Dating and separation

My husband and I have been separated for 3 months now after a year of marriage. We had been discussing a divorce since November, but only recently began what we needed. He had a new girlfriend before we filed divorce, so should I feel bad for being in a new relationship? I'm not trying to rush things, and I know I need to make sure I'm mentally and emotionally ready... I'm concerned about my family and friends thinking I'm moving too quickly... please be honest but don't be rude..