I had an online friend (I know people say not to do that..) and we got into a huge fight and haven't talked for about a week and her birthday is in two days... Should I wish her a happy birthday?

If she's your friend, of course wish her a happy birthday....most friends have arguments, but if the olive branch is never offered, it can never be received!

Of course!!

Please don't mention what you're fighting about. Save that for another day.

1.  Of course wish them a happy birthday.

2.  There is nothing wrong with having an online friend.  It is the modern version of what were called pen pals (I will call online friends pen pals for the rest of this reply) when I was young.  It only becomes a problem when you or they begin asking for things (money, tickets, ...) or you try to take a relationship beyond just a pen pal state. 

Even back when I was young, pen pals often tended to describe themselves in much more flattering terms than most would describe them.  Pictures sent were often of friends or relatives or even from magazines.  Stories told always put the person in the best light if they are part of the story. 

Do not go running off to meet your pen pal.  Even if they are fabricating part of their story, it can be an enjoyable relationship.  This might be someone you can be totally honest with.  Someone that will become an extra conscience.  Someone that will encourage you when attempting something hard or new.

A pen pal can become your very best friend, closer than family, real life friends, or even your future spouse.  It is someone you can share ideas, dreams, successes, failures, and even pain.  But they should remain pen pals only.  Everyone needs someone they can talk to.  It is because we have lost these special people in our lives that so many people go to shrinks now.

You pen pal if you continue writing to each other will become your most intimate lover.  This is said in the most pure of definitions.  They are a diary that speaks back.  You may eventually develop enough trust that you actually let the other person know who you are.  At that point, you can say all and know it is protected as devoutly as a priest that hears your confession.

Yes of course wish a happy birthday and if you wish to develop a friend you can always count on, consider the fight what it was.  To people disagreeing on something.  Respect your pen pal.  What they finally do will not affect you.  Tell what you think and why but know the other person must make the final decision and trust them to have weighed your words in their decision.  Remember all situations have at least 3 truths, your truth, their truth, and God's truth.  All are equally valid and the person is making the decision on their truth (all they know and their individual situation as they perceive it).

I know this was more than you wanted.  But so many people today seem to think others whom they have never met are in circumstances that are equivalent and so can judge right and wrong courses to take.  Forget/forgive the fight.  You do not know all that is going on and trust your friend to have made the best decision they can.

Wish her happy birthday and a happy new year!:)