There is a “Greenworks” electric chain saw. It has the most powerful battery, 40 volt (lasts the longest, can do more work). Yes, it can kill or injure you just like a gas powered one can. But it is lighter, and there is no drama about whether or not it is going to work for you. You are not going to go logging with a little chain saw like this, but for light work, it is excellent. And easy to operate. It has a chain brake, which is a good thing.
My hubby has a selection of gas powered chain saws, and has learned how to operate them adequately, and is very safety oriented. But he does use my little electric one every now and again, and actually likes it (he thought it was a joke when I was determined to have it). I can operate some of his smaller gas powered saws, and am OK with them now for the most part. But only do so when he is around, when we go out firewooding together.
Several years ago now, a saw kicked back and he slipped. Cut his leg, but not the femoral artery. It was messy, and scary for him. Has healed up fine. We are both glad that it was only his leg, and not his neck, or face. Enforced the need for safety equipment, and thinking ahead when using a chain saw, and keeping respect for the tool.
We have a neighbour who is a “girly girl”. Was scared of chain saws, and not physically strong, but wanted to help with the firewood gathering, other than just loading cut wood. She tried my Greenworks saw. She liked it, and felt confident with using it. They bought one. She now uses it herself as necessary.
Keep it sharp, keep the chain oil tank full. Try not to run the battery down to fully dead before recharging. Get someone who is skilled and experienced to give you some tips re safety, in use of the saw AND falling trees. Presumably, if you get an electric one, your goal is NOT to fall huge trees, only cut up some crap on the ground.
Your vehicle or horse can kill or injure you too, not just the chain saw.