I had this problem once because at that time bitcoin was just about to touch 5000 USD for the first time and I was going to send a 22k satoshi for some services and since my local currency has a very low price compared to bitcoin I was stuck to that small amount. Electrum was asking me to pay a fee that was greater than the amount of money I was about to send. Hence what I did was i put a very low fee because I was ready to wait and the transaction did take one day to confirm.