When following redirects, a PROPFIND request (and probably others) are converted to a GET

<VirtualHost _default_:80>

DocumentRoot /var/www

<Directory />
Options FollowSymLinks
AllowOverride None
</Directory>

<Directory /var/www/>
Options Indexes FollowSymLinks MultiViews
AllowOverride AuthConfig
Order allow,deny
allow from all
</Directory>

Alias /webdav /var/www/ToDoList

<Directory /var/www/ToDoList/>
DAV On
DavDepthInfinity on
AuthType Basic
AuthName "webdav"
AuthUserFile /etc/apache2/auth/ToGoList_passwd
Require valid-user
</Directory>

ScriptAlias /cgi-bin/ /usr/lib/cgi-bin/

<Directory "/usr/lib/cgi-bin">
AllowOverride None
Options +ExecCGI -MultiViews +SymLinksIfOwnerMatch
Order allow,deny
Allow from all
</Directory>
</VirtualHost>

mkdir /var/www/ToDoList
chown apache:apache /var/www/ToDoList
mkdir -p  /etc/apache2/auth/
htpasswd -bc /etc/apache2/auth/ToGoList_passwd admin admin

# start apache:
httpd -k start

#include <QCoreApplication>
#include <QNetworkAccessManager>
#include <QNetworkReply>
#include <QNetworkRequest>
#include <QUrl>

static const QByteArray PropFindRequestData = "<?xml version=\"1.0\"?>"
                                              "<a:propfind xmlns:a=\"DAV:\">"
                                              "<a:prop>"
                                              "<a:getetag/>"
                                              "<a:resourcetype/>"
                                              "</a:prop>"
                                              "</a:propfind>";
static const char *DefaultEncoding = "text/xml; charset=utf-8";

int main(int argc, char *argv[]) {
  QCoreApplication a(argc, argv);

  QNetworkAccessManager nam;
  nam.setRedirectPolicy(QNetworkRequest::NoLessSafeRedirectPolicy);

  QNetworkRequest req;
  req.setUrl(QUrl("http://admin:admin@localhost:8080/webdav"));
  req.setRawHeader("Depth", "0");
  req.setHeader(QNetworkRequest::ContentLengthHeader,
                PropFindRequestData.size());
  req.setHeader(QNetworkRequest::ContentTypeHeader, DefaultEncoding);

  auto reply = nam.sendCustomRequest(req, "PROPFIND", PropFindRequestData);

  QObject::connect(reply, &QNetworkReply::finished, [=]() {
    qDebug().noquote().nospace() << reply->readAll();
    reply->deleteLater();
    qApp->quit();
  });

  return a.exec();
}