The COVID-19 patient data for composite outcome pre- diction often come with class imbalance issues, i.e., only a small group of patients develop severe composite events after hospital admission while the rest do not. An ideal COVID-19 composite outcomes prediction model should seek strong imbalanced learning capability. Such a model also should have fewer tuning hyperparameters to preserve its good usability and exhibit its potential for fast incremen- tal learning. Towards this goal, by means of the classical proximal support vector machine (PSVM), this study pro- poses a novel imbalanced learning approach called Imbalanced maximizing-Area Under the Curve (AUC) Proximal Support Vector Machine (ImAUC-PSVM) to predict the hospitalized COVID-19 patients' composite outcomes within 30 days of hospitalization. ImAUC-PSVM has the following merits: (1) it incorporates the straightforward AUC maximization into the objective function and hence has fewer parameters to tune. This makes it naturally suitable for handling imbalanced COVID-19 data with a simplified training process. (2) Our theoretical derivations reveal that it has the same form of the analytical solution as PSVM. Therefore, it inherits the advantages of PSVM in dealing with incremental COVID- 19 cases using the fast incremental updating. Our proposed classifier was built and validated internally and externally on the real COVID-19 patient data retrieved from three separate sites of Mayo Clinic in the United States and also validated on the public datasets using various performance metrics. Experi- mental results demonstrate that ImAUC-PSVM outperforms in most cases, showing its potential to assist clinicians in triaging COVID-19 patients at early stage in the hospital settings.