There's no problem at all in Ft Lauderdale. We are well into our 70s and have been dropped off and picked up by Uber/Lyft more than once and have no fears. Just be aware of your surroundings and relax. People that look like targets are.
Those that look like they might fight back, yell or do something are avoided by most criminals. So if someone is making you feel uncomfortable and nobody else is around, call 911. And don't foolishly put your phone in your purse where it takes time to get it out. Hold it in your hand - UNLOCKED - or in a pocket.
When we have been in places where we really, really felt uncomfortable, I would dial 911 on my phone but not hit SEND and hold it in my hand so all I had to do is hit one button. I would always remember - FIRST is your location, SECOND is your issue THEN wait for them to ask you additional information. Remember, if all they get is your location, they know where to go even if they don't know what is wrong. I figure my screaming after that would tell them what I need if I can't say anything else. My wife is bad about that. When she calls 911, she says "My name is ..." Who the hell cares what your name is when you need 911? If they want that and you can give it to them AFTER where and what - but NEVER first.
And learn from my experience. When I was doing traffic control as a volunteer with the local sheriff's office, some ***** ran over my foot accidentally and it twisted and knocked me down. The other guy called in "Officer Down" before I could even say I was not hurt bad. You can't believe how many deputies and city police showed up before I could even stand up! I will always remember those two words if I am in deep, deep trouble. They may get upset afterwards (they got mad at my partner) but I got instant help! And I always tell my wife "Look for a fire alarm and pull it -no matter what you need!" Police and ambulances may be busy but firemen ALWAYS come as fast as they can drive. They don't have guns but they have big LOUD trucks, big guys and big axes.