Ellyot, in another life I worked in and around the hangars of a fairly sizable operation where dozens were employed maintaining various g.a. and s.a.l. a/c. It was rural oz not capital city and it was many years ago. On occasions I worked beside one young female apprentice AME. She was a pleasure to work with and very thorough and didn't mind getting her hands dirty.
...I have written but then deleted some lengthy text on her treatment within her workplace; I had begun to rant. Long story short this poor young woman was leaned on, harrassed, abused, the subject of all possible verbal assaults until she could tolerate it no more...
Torres has good advice, it's a numbers game unless you have strong recommendations. Those who turned you away are no place for you; the very last thing you want is to be accepted by these people and then later resented. If they knock you back, turn and walk away.
Your time will come but you'll have to persist.