OK, you have made booking. Don't panic. Yep, you will endure many minutes exiting aircraft. Perhaps you only have carry on luggage. Walk briskly to passport control, avoid escalators etc. Be positive, stay alert.
All going well I think it is possible to make connection. If you don't have EU documents there may be extra delays as I believe you must present at check in counter for verification. However, if allowed proceed at this stage , you will have sufficient time to clear security, passport control and walk to gate.
Hopefully other pilgrims previously arriving at T4 transferring to T1 will give advice.