That really depends on where you are going and where you are coming from.

In general, if you are going to a place that recognizes your union (civil or not, heterosexual or not), have paperwork to back it up, and have been sharing your life as partners for a while (ie shared financial responsibilities etc), you should not have any more trouble than non-ace couples.

Believe it or not, outside of weird sexually perverted cults like the Roman Catholic Church, having sex is not a requirement for marriage.

like everyone else has said this is heavily dependent on the locales but i’m going to imagine with immigrating to the US this way you will need to come here on a fiancé visa or something and then proceed with the citizenship/visa process for marriage after getting legally married here.

i’ll be real chief no shade on nontraditional relationships, but if you are having trouble differentiating between you and your partners relationship and those who are fraudulent, then yes, the immigration office likely will as well and they will investigate you.

i know it isn’t what you want to hear, and im not saying it is right, but when it comes to america; basically yeah, you need to display indications of a more traditional domestic relationship.

again, it isn’t right (i think we should just have entirely open borders but i digress), but trying to “cheat” that here is legally considered fraud and i would be very careful in lying to immigration officials in any appreciable manner. they don’t fuck around here.

I applied for a green card in the US based on marriage, and my wife is now applying for one in Canada. In both cases, they've mainly been concerned with combined finances and co-habitation. Your mileage may vary depending on where you are, but I don't imagine that it would be a problem.