Revd Hayley Young, from Hayling Island Baptist Church in Hampshire, contracted the disease when she was attacked in 2013.
Thank you to all who have given me encouragement & support over the past few days - I feel very humbled by the response to my 'coming out'
— Hayley Young (@revhayley) May 11, 2015
In the video, which she tells her story through cardboard messages, she wrote: 'Seriously, I know that I am God's masterpiece and he hasn't finished with me yet.
"Having HIV doesn't mean that I can't have the quality of life that Jesus offers."
In the wake of the video, Peter Fabian, founder of the Christian charity Aids, Care Education and Training (ACET) called on churches to do more to engage in topics like HIV and sex.
He said: "The statistics that we bandy around what's going on in the wilder world are not actually that different in the Christian community, yet relationships and sex are what we talk about very little in our churches.
"By not talking about it we're not fulfilling our responsibilities, and by talking about it I do believe passionately that we not only strengthen the mission of the church, but we improve the discipleship within the church."
He said that too often people want to know how somebody contracted HIV when: "when what we need to do is gather round and give them the support and care that they need.
"It doesn't matter how they were infected, we're called to love and to care and provide hope."
Listen to Premier's Hannah Tooley speak to Peter Fabian here: