Having many irons in the fire means you are doing several things at the same time. You may have several projects going on, or working more than one job, or involved in several different activities, or are hopeful about a few possibilities that will give you better rewards. You would be a very busy person with many irons in the fire.
If the girl is romantic, she wants to have, or does have, a desirable man who will make her happy, or else an adventure to an exotic place that she has wanted to go on for a long time.....maybe a dream vacation. She has a wish that could come true for her, and this is a romantic venture. If she LOOKED romantic, you would have to say that.