If she's encouraging you to consider protestant or unbaptized men as anything but the very last resort in extraordinary need, then it doesn't sound like a good perspective of the institution of marriage. How can a woman who professes to be Catholic consider a man as her head, as a primary or secondary resort, who rejects the truth of what Christ taught in reference to the sacraments and the institution of His Church, or is not in a condition in which sanctifying grace is possible?
Obviously there would be no tranquil family life with husband and wife keeping one another at a distance due to the spiritual abyss that separates the two. Is that really what you would consider under ordinary circumstances? Are you really going to cuddle up to someone at night of whom you have good reason to believe will be separated to the left of Christ at the general resurrection?
I have a good friend whose non-Catholic son married a Catholic, had kids and raised them Catholic, and then he converted to Catholicism.
Gotta go zzzzz because I'm running a 15K tomorrow at 8:30am.
Your daughter is absolutely correct to think that you are being to picky to only consider Catholic men. There have been too many successful marriages between Catholics and non-Catholics to say otherwise. I have a good, very Catholic friend who dated a non Catholic who converted. I have another who married a wonderful woman who was not. She did not convert but they are raising 5 wonderful children Catholic.
She is absolutely wrong to think that you won't find a Catholic gent. how can she see the future? Finding another Catholic means you will already be compatible on all the important points, and that's worth being a bit picky about.
Marrying outside the faith is a pretty serious business, so my advice is concentrate on finding a good Catholic, but Don,t tell a good, handsome and charming gent no just because he isn't Catholic. If you are both adults you should be able to discern if the relationship should go forward or not.
Peace in Christ,