The total emitter resistance --- often one R bypassed with large-value capacitor and another R to set denominator of GainEquation --- is key in setting collector current.
But that current, times Rcollector, the voltage subtracted from VDD, sets the headroom for your CE amplifier.
As a kid, I eventually realized a ROBUST CE amplifier could have the total_Re be the same as Rc, with base biased to VDD/3, and I'd be guaranteed a fine low distortion amplifier, because the headroom was also VDD/3 and the peak-peak swing was 2/3 of VDD.
In such a circuit, Re = Rc, the default gain is approximately 1. With phase inversion between base and collector; thus Ve and Vc can be used to drive a pushpull power amplifier.
If you seek gains higher than 1, simply chop the Re into 2 resistors and put a seriously-large capacitor across one of those resistors. The other R, call it R_e_gainset, gets divided into Rc, to predict the gain.
There are some error sources in this model, such as ignoring the GM of the transistor; I model that as "reac" being 1/GM; thus bipolar at 1mA has 39 ohms reac[at 10mA, reac is 3.9 Ohms]. Simply add that to the R_e_gainset to be more accurate. The collector Rc can be tweaked with Rload also being in parallel, along with Vearly_voltage in parallel. This concludes the DC/lowfreq errors.