To be perfectly blunt, sex between human and alien would fit the very definition of bestiality.
And would likely be regarded by many religious humans as a mortal sin.
It would depend on how said religion interpreted what a "being in the image of God" is. If you hold that it is the DNA that makes one a child of God, then your comment would stand to reason. But if you believe it is the soul that gives you personhood, and is what was fashioned in God's image, then you're not so likely to interpret that form of interspecies relationship (between two sentient humanoids) as a problem.
Most likely, a religion, or interpretation of a religion, that accepts evolution is less likely to have a problem. Since the point of ensoulment/knowing God could not be identified, then it could well have happened before the species had exactly the same DNA as it does now. A religion that believes that is going to be a lot less likely to claim that sentient aliens don't have souls or any other such nonsense. (In the Trekiverse, based on what we see, it would be obvious nonsense, in my opinion as a believer, to claim that sentient aliens are anything but beings of equal status to humans.)
As to the mechanics of interspecies relationships, I have always assumed there are different degrees of compatibility, that may be determined by how much the evolving species' genetic material "submitted" to the Progenitors' seeding. Species like humanity may be among those whose native characteristics were suppressed to a greater extent, hence less "unique" stuff to interfere with interspecies reproduction. Under my theory, a species like humanity is likely to find that their genetic material "submits" as well to the other species, in a lot of ways, whereas other species may find that theirs doesn't do so as easily.
I can link a more detailed, coherent essay I wrote on this subject, if anyone is interested.