You can refreeze raw meat with no ill affects. I've done it for years/decades. If you look closely in the store you will find signs beside some meat that say "This product has been previously frozen."
If you are even just slightly scientific, do an experiment. Take a package of thawed chicken breasts. Where I live there are usually 6 to the package. Get six ziplock type baggies. As soon as you get home from the store, place each chicken breast in a separate baggie. Place one chicken breast in the freezer. (Mark the baggie) Place one on the counter for dinner. Place the other 4 in the frig. The next day, place two in the freezer. (mark them) Place one on the counter for dinner. The next day, take one of the two you just placed in the freezer the day before and put it out on the counter for dinner. When it is thawed, place it back in the freezer. (Remember, you already marked it.) Have somethng else for dinner. The next day, take the three chicken breasts you have in the freezer and cook all three the same way. (Be sure to keep track of which one is which.) Taste them. You have one that was placed in the freezer the first day when you opened your package of chicken. You have one that was in the frig and wasn't frozen until the second day. You have a third one that was frozen by you, thawed by you and refrozen by you. You won't be able to taste any difference in the three chicken breasts.
What does all that mean? You can freeze and refreeze meat and not have to worry about it.
Good luck to you and yours.