Can you cheat on somebody and still love them?
Short answer. YES.
But how? Surely if you love someone you would never hurt them like that.
This is the thing; sex CAN 'just happen'. It can be an irrational moment where one loses sense of their moral compass, where they are, what they are doing. And this is why often, this situation can be instigated from inebriation.
This has happened to me twice. And it has happened when I have been so drunk I cannot even remember what I'm saying. It has happened because I am a very sexual person and have lost sight of the bigger picture when the alcohol has completely clouded my mind.
This does not mean I do not love my partner. I love her very much. And the irony is from each time this has happened, I find that I love her even more.
The latest time I realised - I love her so much, I will no longer put myself in these situations. I will no longer drink so much. And I will keep my head down. And that is what I have done.
If you CONTINUALLY cheat then you do not love her.
If you make your mistake, and learn and do something about it, then surely this is a sign of your love for your partner and how you want to address your faults?
People have different opinions - personally I believe no one is perfect, and love isn't a medium where there is only ever one outcome. Love is a journey which isn't always smooth sailing. Only if your love is strong enough, will that journey continue.