In a Celtic Cross reading, Card 2 represents a challenge. The Tower can represent anything from a dramatic and sudden change in your life to a sudden understanding of something important. So your challenge may be that something dramatic and sudden will happen in your life. Without a fuller picture of your reading, or more information, I can only go by this one card in its position from the information you gave.
It doesn't have to be a terrible thing to be a challenge or a change. The outcome depends on how you respond.
I don't agree that avoiding conflict, refusing to bring up the past, or having self-doubts is a logical interpretation of the Tower, regardless of the question. You may be thinking that these strategies will avoid problems you are being warned of by the Tower card. It's more likely that your challenge will show itself no matter how well you manage your fears.
Whatever your challenge represented by the Tower card, I recommend that you rise to the occasion and make the best decisions you can. You can't hide from the Tower. You have to face it.
That's my take based on the information given in your question.