In 2010 Garfield Park a single 65 year old womam walking alone at night? Not a good idea unless you are very physicaly fit. (It would be wise to contact AARP for self defense advice.) There is very little to walk to in daytime and nothing at night. In the daytime the world famous Garfield Park Conservatory is great. The French Market there is also good. The park field house has classes. The park is beautiful and a great place to walk dogs. Please be aware that Garfield Park is still primarily a "bedroom community" because it still lacks most of the basics and variety that a non-driver would need, expect and probably want. People tend to drive (or bike) to other neighborhoods for most things and activities. There are very few small apartments in the neighborhood. Big rental units are dirt cheap but for the same money you could have a nice studio or 1 bedroom apartment in a neighborhood that is not a "bedroom community". Many studio apartments include heat. Very few apartments of any size in Garfield Park do. It's not a good neighborhood for a single 65/66 year old woman to walk at night. At night in Any neighborhood Always walk on well lit streets if possible - even if it means walking out of of your way/going the long way. Muscle mass declines with age so it is a good idea to carry pepper spray and of course be aware of your surroundings. Good luck.
I suggest going to the website: chicago.everyblock.com. This site will give you all the crimes and type of crimes, if any, have been committed within a certain distance of a certain property address or certain area. I hope this helps.
Your best source of information regarding safety is the local police department, why not call/visit and ask all your questions, hear all the information firsthand, including safety tips that can come in handy anywhere world.