I think its fine. Maybe you would want to start with a friendship first ?
Each person is an individual and as Christians we should all pray for unity.
The obstacles that divide us are being worked on and some resolved. www.usccb.org
However, it does present many things to be worked through personally.
There are many different Protestant denominations and family backgrounds.
As a new Catholic - you may not want to be bombarded by misinformation from the Protestant. It can be tiresome and hurtful.
On the flip, you may both grow in your faith. I think it all depends on the people involved.
I haven't read from this site below before but I believe this is accurate to what I know.
I took the quote below from www.cfnews.org.
In his 1966 book Theological Highlights of Vatican II, Father Ratzinger, said that the Council document Lumen Gentium was purposely constructed along ecumenical lines to lay the foundation for Vatican II’s Decree on Ecumenism. Father Ratzinger says that according to Lumen Gentium:
“The Catholic Church has no right to absorb the other Churches... [A] basic unity — of Churches that remain Churches, yet become one Church — must replace the idea of conversion, even though conversion retains its meaningfulness for those in conscience motivated to seek it.”
Father Ratzinger wrote this book during the Council. As a co-worker with Father Karl Rahner, he was heavily involved in drafting the documents. He is in a position to tell us what were the true intentions of the architects at Vatican II. And he declares that the true teaching of Vatican II, according to its authors, was that conversion is an option. The non-Catholic need not convert to the true Church for unity and for salvation. The principle of conversion of non-Catholics is replaced with the new principle of convergence with non-Catholics.
Everything since the Council follows this new model; the principle of conversion of non-Catholics is replaced by the new notion of convergence with non-Catholics.