req.txt
Flask==0.10.1
Flask-Mail==0.9.1

app.py
from flask import Flask, request
from flask_mail import Mail

app = Flask(__name__)
app.config.update(
    MAIL_SERVER='smtp.yandex.ru',
    MAIL_PORT=465,
    MAIL_USE_SSL=True,
    MAIL_USERNAME = 'OWNER_MAILLIKE_noreply',
    MAIL_PASSWORD = 'YOUR_PWD'
)

mail = Mail(app)

@app.route("/")
def hello():
    return "Hello World!"

@app.route('/send-mail/', methods=['POST'])
def send_mail():

    r = request.get_json()
    name = r.get('name','Empty')
    user_mail = r.get('email','Empty')
    message = r.get('message','Empty')
    msg = mail.send_message(
        'Сообщение с skyeermap.com',
        sender='no-reply@skyeermap.com',
        recipients=['info@skyeermap.com'],
        body="User: %s User Email: %s User message: %s"%(name, user_mail, message)
    )
    return 'Mail sent'

if __name__ == "__main__":
    app.run()