Can I opt for consolidation but not include 1 card?

Yes, you can keep that card out of your consolidation. However, make sure you make the regular payments on the card.
There is no rule that you'll have to include all your existing cards if you opt for consolidation.

How much do you owe on that card? Can you afford to handle that card yourself? If you owe a huge amount on that card, then it's better to include it in the consolidation program. As far as your emergency expenses are concerned, you can take care of them with an emergency fund. Debt consolidation will help you save money every month. Use that money to build your emergency fund.

You can keep out that card from the consolidation. However, make sure you make payments on time.

Yes you can, but if you owe a big amount on that card, it is wise to enroll it in a consolidation program. Its up to you.