It really is a vicious circle I'm afraid and frustrating for all in the trade as well.
I have my own electrical contrcting business and have been approached on a number of times from different scheme's to take on an apprentice but as a business owner we are expected to fund the training. Gone of the days where the company actually gets paid to take on and train the apprentice.
I was going to point you in the direct of Summit Skills to see if they could help you with an apprenticeship but they really cater for 16-19 year olds.
I'm not sure if this will help you or not? but you could try and follow up from this link with the NICEIC promoting jobs for girls?
They are one on the approved bodies in the UK (Personally I'm been a member of NAPIT for many years) but could be worth a try?
Hope this helps.