Will this hairstyle work for my thick hair?

I think that is a wicked cute hair cut! I wouldn't be afraid to cut your hair like that unless your hair was very frizzy. It looks like she used a flat brush and a blow dryer to get it flipped out like that but you wouldn't necessarily have to do that. Good luck. Remember that it is only hair and it will grow back and in your case even more quickly since you are preggo.