It's a big step going from a couple of songs to 45 minutes. I built up with a few charity events to start with. The organisers are looking for people to fill up the bottom of the bill and volunteers are usually gratefully received. You don't get paid but that works both ways - if it doesn't go well you don't feel you've let anyone down particularly or guilty about taking the money. You gradually get used to doing longer slots, your confidence builds up and you get known (and you help a worthy cause). Just a suggestion.
The other thing is, unless you are spellbinding, you need some variety to keep people interested. There are some instruments that are relatively easy to learn (washboard!!!) and you can throw in a couple of songs on those.