does seem weird as 1) divorced 2) with new partner and living with him
divorced is obv diff from widowed, but i wore my ring from dh for almost 2 years after he died, and i was with a new dp
DP wasnt bothered at all i wore it and never pressured me to take off - i took it off on what would have been our wa this year (march) DP asked why, and I said it felt right - it on my right hand ring finger now as tbh i love my rings, diamonds
also new people assumed as i wore wedding/engagement rings that DP was my hubby, then you had to explain that DH was dead eyc, and people just dont know what to say
people also assumed as i took my rings off that DP was going to put his ring on it
how jewellery complicated things 
but yes does seem weird in your case, but i wouldnt worry about it, i know friends who are divorced and keep name/rings, but they havent met someone new yet