My daughter was also very difficult to get to start with meats. She absolutely refused ANY of the "baby" meats no matter what I put them in. And it was quite some time beyond that before she finally started eating any meat of any kind. I am trying hard to think what it was (she is almost 10 yrs now)... She also really didn't care for eggs...scrambled or otherwise. Still doesn't. She would eat maybe 2 or 3 bites of scrambled... but that was it and that was a struggle. Same now.
Maybe it was Bacon. She absolutely LOVED fried bacon!!!
It wasn't too long after that, that she was eating pieces of grilled chicken breast meat, and thinly sliced bites off of my steak. Her favorite soon became spare ribs!
I would try not to worry too much about it. Just offer her small portions or bites of yours and let her eat cheese and green veggies (broccoli also has iron, as does spinach---and my kids will eat steamed broccoli and raw spinach and always have). The dark greens have iron also. One day you'll turn around and she'll be eating every meat under the sun.. and no sauce! My girl still won't touch ketchup! Even on french fries.
But she'll eat steak, chicken, pork (ribs, chops, bacon, ham), ground beef (tacos, meatloaf, meatballs), etc. Just no fish. My son, however LOVES all things fish and seafood! :)