You can use Ingress with a chosen Ingress Controller(s). Ingress Controller is needed as:
In order for the Ingress resource to work, the cluster must have an
ingress controller running.
Unlike other types of controllers which run as part of the
kube-controller-manager
binary, Ingress controllers are not started
automatically with a cluster. Use this page to choose the ingress
controller implementation that best fits your cluster.
Create an ingress controller in Azure Kubernetes Service (AKS) will show you a step by step guide describing an example of how it could be implemented.
As for the routing, the Create an ingress route shows how it works:
To route traffic to each application, create a Kubernetes ingress
resource. The ingress resource configures the rules that route traffic
to one of the two applications.
Based on your question, if your service is only reachable via https you need to add the following annotation to your ingress yaml:
nginx.ingress.kubernetes.io/backend-protocol: "HTTPS"