No door is burglar proof. Flip through the yellow pages or Google for "security screen doors" then visit the store and check out the floor samples. Then order the one you feel is the best fit for your space. Big box home improvement centers carry them, but they don't always have the best quality.
So welcome! 🌞
Pinterest has some interesting suggestions that you could probably add screen to. Take a look, it may give you some ideas and a link on whee to locate them:
This is world wide site so in your area????......we use/have/sell them here in AZ they are made of wrought iron/steel and have steel pieces that cover the door's strike plate, dead bolts on them, hinge bolts on the inside of the security door's steel frame which is attached directly to block wall/door opening.These security doors are standard on homes here,not always the kind I just described because full feature ones with frame are very expensive. Home Depot sells them, they are ok but do not have the high intrusion safety features, they are basically heavy duty anti cut screen doors. you need to check online in your area to see who carries them and how much of the security features they actually have.The best ones come with steel frame instead of attaching to wood frame. you can also buy just the rolls of security/steel mesh to install in your screens but they are only anti cut and if your screens can be removed really are useless.I tried to look online for you in your area did not find any like we have here.
We hired a contractor and he made ours out of wrought iron. They were very beautiful. We have since moved but they kept the bad people out. We had them made for all the windows and doors.