''The Alexandra community is shocked and mystified by the disappearance of Denise and we've been left with more questions than answers.
''Whatever happened to Denise, we want the family to know she was much loved and respected and will not be forgotten.''
Mrs Potter, 53, went missing on March 30, while staying at her elder daughter Koren's Dunedin home.
Searches involving police and hundreds of volunteers failed to find any trace, she has not used her cellphone or bank cards and there have been no leads since on her whereabouts.
Husband Steve said the service was a chance to reflect on her life ''and to be grateful for the time we had with her''.
''Denise and I used to not watch the news on TV sometimes because we were horrified at how mankind treated each other, but all this has shown me another side of mankind - now I know how caring people can be and our family has experienced that first hand, from friends and strangers.''
They had been a couple for 34 years and he had a final message for his wife: ''I miss you and love you and you will never be forgotten. I know, in my heart, you are finally at peace,'' he said. His tribute drew a round of applause from the mourners.
Other speakers highlighted Mrs Potter's devotion to her family, her enjoyment of a good laugh, her hospitality, her dressmaking skills and her rapport with patients in her role as receptionist at Cornerstone Health for 25 years.
Daughters Koren and Sharelle reported being overwhelmed by the support they had been shown and all the lives their mother had touched.
Koren read a letter she wrote to her mother saying she missed her daily texts, ''telling me about the Alexandra weather and telling me to have a good day''.
Grateful to be part of such a close knit family, she thanked her mother for her love and support and for instilling ''all the right values and morals'' in her children.
Fr McGettigan concluded the service with Brian Turner's poem What the wind knows.